| 2024-05-20 | Let \(\alpha, \beta\) be the roots of the equation \(x^2+a x+b=0\) and \(\gamma\), \(\delta\) be... | 3:34 | 1 | Let's Play |
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| 2024-05-20 | If \(x \in R\), then the roots of the equation \(x^4+4 x^3-8 x^2+k=0\) with respect to the values... | 5:18 | 0 | |
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| 2024-05-20 | The least value of expression \(x^2+2 x y+2 y^2+4 y+7\) is:... | 0:48 | 1 | |
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| 2024-05-20 | \(\alpha, \beta\) are roots of the equation \(\lambda\left(x^2-x\right)+x+5=0\). If \(\lambda_1\)... | 2:35 | 5 | Let's Play |
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| 2024-05-20 | If \(a, b\) are the roots of \(x^2+p x+1=0\) and \(c, d\) are the roots of \(x^2+q x+1=0\). Then... | 2:38 | 4 | |
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| 2024-05-20 | The complete set of values of ' \(b\) ' for which the equation \(2 \log _{1 / 25}(b x+28)=-\log _... | 7:59 | 0 | Vlog |
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| 2024-05-20 | Find number of integral roots of equation \(x(x+1)\) \((x+2)(x+3)=120\) are... | 1:49 | 2 | |
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| 2024-05-20 | The least prime integral value of ' \(2 a\) ' such that the roots \(\alpha, \beta\) of the equati... | 1:49 | 2 | Let's Play |
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| 2024-05-20 | Find product of all real values of \(x\) satisfying \((5+2 \sqrt{6})^{x^2-3}+(5-2 \sqrt{6})^{x^2-... | 1:38 | 0 | |
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| 2024-05-20 | If \(\alpha, \beta\) are the roots of the quadratic equation \(a x^2+b x+\) \(c=0\), then which o... | 1:24 | 0 | Let's Play |
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| 2024-05-20 | If \(\left(x^2+x+1\right)+\left(x^2+2 x+3\right)+\left(x^2+3 x+5\right)+\ldots \ldots .+\left(x^2... | 2:20 | 1 | |
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| 2024-05-20 | The adjoining figure shows the graph of \(y=a x^2+b x+c\). Then ... | 1:17 | 5 | Show |
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| 2024-05-20 | Values of \(k\) for which the inequality \(k \sin ^2 x-k \sin x+1 \geq 0\) is true \(\forall x \i... | 4:37 | 0 | |
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| 2024-05-20 | Consider the following statements:\(S_1\) : If the roots of \(x^2-b x+c=0\) are two consecutive i... | 2:10 | 1 | |
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| 2024-05-20 | The values of \(a\) and \(b\) so that \(x^4+12 x^3+46 x^2+a x+b\) is square of quadratic expressi... | 2:31 | 2 | |
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| 2024-05-20 | For the equation \(\sqrt[3]{(a+x)^2}+4 \sqrt[3]{(a-x)^2}=5 \sqrt[3]{a^2-x^2}\) incorrect statemen... | 4:05 | 4 | |
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| 2024-05-20 | Let \(S\) be the set of all non-zero real numbers \(\alpha\) such that the quadratic equation \(\... | 4:12 | 1 | Let's Play |
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| 2024-05-20 | Polynomials \(f(x)\) and \(g(x)\) are defined as follows:\[f(x)=x^2+a x+2 ; g(x)=x^2+2 x+a .(a \n... | 1:22 | 5 | |
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| 2024-05-20 | Let \(a, b, c\) be the sides of a triangle where \(a \neq b \neq c\) and \(\lambda \in R\). If th... | 4:08 | 2 | |
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| 2024-05-20 | If all the values of ' \(a\) ', so that exactly one root of the equation \(x^2-2 a x+a^2-1=0\), l... | 2:47 | 5 | |
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| 2024-05-20 | When \(y^2+m y+2\) is divided by \((y-1)\) then the quotient is \(f(y)\) and the remainder is \(R... | 1:42 | 2 | |
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| 2024-05-20 | Let \(f(x)\) be the remainder when \(p(x)=x^{73}-2 x^6+3 x^3\) is divided by \(x^4\left(x^2-1\rig... | 1:12 | 1 | |
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| 2024-05-20 | Let the quadratic equation \(x^2+3 x-k=0\) has roots \(a, b\) and \(x^2+3 x-10=0\) has roots \(c,... | 2:32 | 2 | |
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| 2024-05-20 | Let \(\alpha\) and \(\beta\) be two real numbers such that \(\alpha+\beta=1\) and \(\alpha \beta=... | 1:37 | 1 | Let's Play |
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| 2024-05-20 | The number of order pairs of integers \((x, y)\) satisfying the equation \(x^2+6 x+y^2=4\) is... | 4:05 | 3 | |
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| 2024-05-20 | Given that \(\alpha, \beta, \gamma\) are the roots of cubic equation\[x^3=3 x^2+2 x+\frac{2}{3}=0... | 2:52 | 6 | Let's Play |
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| 2024-05-20 | Let \(P(x)\) be a polynomial whose coefficient are integer satisfies \(P(1)=5\) and \(P(2)=7\). T... | 2:04 | 1 | |
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| 2024-05-20 | Let \(p\) and \(q\) be the two roots of the equation \(m x^2+x(2-m)+\) \(3=0\). If \(m_1, m_2\) a... | 3:53 | 1 | |
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| 2024-05-20 | The minimum number of real roots of \(\left(x^2+3 x+a\right)\left(x^2+a x\right.\) \(+1)=0\) equa... | 2:06 | 1 | |
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| 2024-05-20 | If solutions set of \(\sqrt[3]{6(5 x+6)}-\sqrt[3]{5(6 x-11)}=1\). is \([a,-b / 5 a]\) then \(a+b=... | 4:39 | 5 | |
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| 2024-05-20 | Let \(p\) and \(q\) be two positive numbers such that \(p+q=2\) and \(p^4+q^4=272\). Then \(p\) a... | 2:31 | 4 | |
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| 2024-05-20 | Let \(\alpha\) and \(\beta\) two real roots of the equation \((k+1) \tan ^2 x\) \(-\sqrt{2} \cdot... | 2:51 | 1 | Let's Play |
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| 2024-05-20 | Let \(\alpha\) and \(\beta\) be the roots of the equation, \(5 x^2+6 x-2=0\). If \(\mathrm{S}_n=\... | 1:13 | 1 | Let's Play |
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| 2024-05-20 | The sum of all non-integer roots of the equation \(x^5-6 x^4+\) \(11 x^3-5 x^2-3 x+2=0\) is ... | 4:41 | 4 | |
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| 2024-05-20 | Let \(a_1, a_2, a_3, a_4\) be real numbers such that \(a_1+a_2+a_3+a_4\) \(=0\) and \(a_1{ }^2+a_... | 4:06 | 5 | |
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| 2024-05-20 | If the equations \(p x^2+q x+r=0\) and \(r x^2+q x+p=0\) \((p \neq r \neq 0)\) have a negative co... | 1:52 | 0 | |
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| 2024-05-20 | The least value of the expression \(x^2+4 y^2+3 z^2-2 x-12 y\) \(-6 z+14\) is ... | 1:52 | 3 | |
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| 2024-05-20 | Let \(r(x)\) be the remainder when the polynomial \(x^{135}+x^{125}-\) \(x^{115}+x^5+1\) is divid... | 3:15 | 3 | |
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| 2024-05-20 | Let \(a, b, c, d\) be distinct real numbers such that \(a, b\) are roots or \(x^2-5 c x-6 d=0\),... | 4:22 | 4 | |
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| 2024-05-20 | Let \(S=\{1,2,3, \ldots, 100\}\). Suppose \(b\) and \(c\) are chosen at random from the set \(S\)... | 3:26 | 4 | |
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| 2024-05-20 | If \(a, b, c, d\) are positive real numbers such that \(a+b+c+\) \(d=2\), then \(M=(a+b)(c+d)\) s... | 1:34 | 1 | |
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| 2024-05-20 | Let \(r, s, t\) be the roots of the equation \(x^3+a x^2+b x+c=0\), such that \((r s)^2+(s t)^2+(... | 2:13 | 5 | |
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| 2024-05-20 | Number of positive integers \(n\) for which \(n^2+96\) is a perfect square is ... | 3:48 | 1 | |
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| 2024-05-20 | If \(x^2+5=2 x-4 \cos (a+b x)\), where \(a, b \in(0,5)\), is satisfied for at least one real \(x\... | 2:47 | 4 | |
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| 2024-05-20 | If \(a_1, a_2 \ldots a_n\) are positive real numbers whose product is a fixed number \(c\), then... | 1:45 | 2 | |
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| 2024-05-20 | For the equation \(3 x^2+p x+3=0, p>0\), if one of the roots is square of the other, then \(p\... | 1:40 | 0 | |
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| 2024-05-20 | If \(p, q, r\) are +ve and are in \(A . P\). , the roots of quadratic equation \(p x^2+q x+r=0\)... | 2:41 | 2 | |
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| 2024-05-20 | If \(\alpha\) and \(\beta(\alpha<\beta)\) are the roots of the equation \(x^2+b x+c\) \(=0\),... | 2:09 | 1 | Let's Play |
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| 2024-05-20 | Let \(p, q \in\{1,2,3,4\}\). The number of equations of the form \(p x^2+q x+1=0\) having real ro... | 1:43 | 4 | |
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| 2024-05-20 | Two towns \(A\) and \(B\) are \(60 \mathrm{~km}\) apart. \(A\) school is to be built to serve 150... | 2:30 | 0 | |
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| 2024-05-20 | If \(\left(x^2+p x+1\right)\) is a factor of \(\left(a x^3+b x+c\right)\), then ... | 2:54 | 1 | |
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| 2024-05-20 | The number of real solutions of the equation \(|x|^2-3|x|+2=0\) is ... | 0:54 | 1 | |
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| 2024-05-20 | Minimum possible number of positive root of the quadratic equation \(x^2-(1+\lambda) x+\lambda-2=... | 2:17 | 0 | |
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| 2024-05-20 | Both the roots of the equation \((x-b)(x-c)+(x-a)(x-c)\) \(+(x-a)(x-b)=0\) are always ... | 2:14 | 0 | |
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| 2024-05-20 | The number of integral roots of the equation \(x^8-24 x^7-18 x^5\) \(+39 x^2+1155=0\) is: ... | 2:35 | 6 | |
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| 2024-05-20 | If \(\alpha \neq \beta\) but \(\alpha^2=5 \alpha-3\) and \(\beta^2=5 \beta-3\), then the equation... | 2:09 | 3 | Let's Play |
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| 2024-05-20 | If \(a, b, c\) are in G.P., then the equation \(a x^2+2 b x+c=0\) and \(d x^2+2 e x+f=0\) have co... | 2:30 | 1 | |
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| 2024-05-20 | If one root of the equation \((l-m) x^2+l x+1=0\) is double the other and if \(l\) is real, then... | 3:08 | 2 | |
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| 2024-05-20 | If \(p, q, r\) are real numbers satisfying the condition \(p+q+r=0\), then the roots of the quadr... | 2:30 | 1 | |
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| 2024-05-20 | If \(\sec \alpha, \tan \alpha\) are roots of \(a x^2+b x+c=0\), then ... | 2:09 | 2 | Let's Play |
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| 2024-05-20 | The value of \(p\) for which both the roots of the equation \(4 x^2-20 p x+\left(25 p^2+15 p-66\r... | 5:04 | 0 | |
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| 2024-05-20 | The value of \(p\) for which both the roots of the equation \(4 x^2-20 p x+\left(25 p^2+15 p-66\r... | 4:15 | 0 | |
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| 2024-05-20 | If \(b^2<2 a c\), then equation \(a x^3+b x^2+c x+d=0\) has ... | 1:48 | 1 | |
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| 2024-05-20 | Find the values of \(k\) for which the roots of the quadratic equation \(x^2-(k-3) x+k=0\) are gr... | 10:06 | 1 | |
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| 2024-05-20 | For what values of ' \(m\) ' does the quadratic expression \(x^2+2(m+1) x+9 m-5=0\) have only neg... | 10:24 | 1 | |
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| 2024-05-20 | If the roots of the equation \(12 x^2-m x+5=0\) are in the ratio \(2: 3\), then \(m=\) ... | 2:11 | 6 | |
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| 2024-05-20 | The value of \(k\) for which the equation \((k-2) x^2+8 x+k+4\) \(=0\) has both real, distinct an... | 4:43 | 0 | |
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| 2024-05-20 | If \(\alpha, \beta\) are the roots of the equation \(a x^2+b x+c=0\) then the equation whose root... | 2:46 | 4 | Let's Play |
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| 2024-05-20 | \(x^2-11 x+a\) and \(x^2-14 x+2 a\) will have a common factor, if \(a=\) ... | 1:50 | 1 | |
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| 2024-05-20 | Find the range of function \(f(x)=\frac{(x+2)}{\left(2 x^2+3 x+6\right)}\), if \(x\) is real.... | 5:31 | 1 | |
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| 2024-05-20 | Find the values of \(k\) such that the equation \(\frac{p}{(x+r)}+\frac{q}{(x-r)}=\frac{k}{2 x}\)... | 7:39 | 6 | |
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| 2024-05-20 | Find the values of \(x\) for which the expression \(\frac{x^2-4 x+3}{x^2+x+1}<0\). Find the mi... | 7:17 | 1 | |
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| 2024-05-20 | For what value of \(k\) do both the quadratic equations, \(6 x^2-17 x+12=0\) and \(3 x^2-2 x+k=0\... | 4:29 | 1 | |
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| 2024-05-20 | Check whether the following is a quadratic equation \((x+2)^3-x^3-4\)... | 2:05 | 0 | |
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| 2024-05-20 | Find the relation between \(c, a\) and \(m\) if a quadratic equation formed from \(y^2=4 a x\) an... | 5:14 | 2 | |
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| 2024-05-20 | Find the range of \(k\) for which 6 lies between the roots of the quadratic equation \(x^2+2(k-3)... | 3:10 | 2 | |
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| 2024-05-20 | If equation \(\frac{x^2-b x}{a x-c}=\frac{k-1}{k+1}\) has equal and opposite roots in sign then t... | 7:54 | 3 | |
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| 2024-05-20 | Find the quadratic equation with rational coefficients when one root is \(\frac{1}{2+\sqrt{5}}\).... | 5:40 | 0 | |
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| 2024-05-20 | The roots of the equation \(x^2-2 \sqrt{2} x+1=0\) are ... | 3:55 | 2 | |
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| 2024-05-20 | Find the zeroes of a biquadratic equation \(x^4-3 x^2+2=0\).... | 1:47 | 7 | |
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| 2024-05-20 | Find the values of \(k\) for which exactly one root of the quadratic equation \(4 x^2-4(k-2) x+k-... | 7:28 | 2 | |
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| 2024-05-20 | The number of solutions of the equation \(|\cot x|=\cot x+\frac{1}{\sin x}\) in the interval \([0... | 12:10 | 2 | |
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| 2024-05-20 | If the equation \(x^2-b x+1=0\) does not possess real roots, then ... | 2:35 | 0 | |
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| 2024-05-20 | The roots of the quadratic equation\[\frac{1}{a+b+x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{x}, a+b \ne... | 3:26 | 4 | |
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| 2024-05-20 | The roots of \(x^2-2 x-\left(r^2-1\right)=0\) are: ... | 1:54 | 0 | |
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| 2024-05-20 | If the roots of \(a x^2+b x+c=0\) are in the ratio \(m: n\), then ... | 4:51 | 1 | |
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| 2024-05-20 | If one root of the equation \(x^2+p x+12=0\) is 4 , while the equation \(x^2+p x+q=0\) has equal... | 4:01 | 1 | |
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| 2024-05-20 | The roots of the quadratic equation \(x+\frac{1}{x}=3, x \neq 0\) are ... | 3:41 | 5 | |
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| 2024-05-20 | If the roots of the equation \(x^2+2 x+p=0\) are real then the value of \(P\) is ... | 2:31 | 0 | |
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| 2024-05-20 | If \(\sin ^{4} \alpha+4 \cos ^{4} \beta+2=4 \sqrt{2} \sin \alpha \cos \beta ; \alpha, \beta \in[0... | 2:52 | 1 | Let's Play |
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| 2024-05-20 | The number of roots of the equation, \((81)^{\sin ^{2} x}+(81)^{\cos ^{2} x}=30\) in the interval... | 3:48 | 0 | |
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| 2024-05-20 | The number of solutions of the equation \(32^{\tan ^{2} x}+32^{\sec ^{2} x}=81,0 \leq x \leq \fra... | 1:54 | 1 | |
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| 2024-05-20 | The number of integral values of ' \(k\) ' for which the equation \(3 \sin x+4 \cos x=k+1\) has a... | 1:15 | 1 | |
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| 2024-05-20 | If \(\sin \theta+\cos \theta=\frac{1}{2}\) then \(16(\sin (2 \theta)+\cos (4 \theta)+\sin (6 \the... | 1:45 | 3 | |
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| 2024-05-20 | The sum of solutions of the equation \(\frac{\cos x}{1+\sin x}=|\tan 2 x|, x \in\left(-\frac{\pi}... | 1:18 | 1 | |
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| 2024-05-20 | The number of values of \(x\) in the interval \(\left(\frac{\pi}{4}, \frac{7 \pi}{4}\right)\) for... | 2:30 | 4 | |
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| 2024-05-20 | Let \(S=\left[-\pi, \frac{\pi}{2}\right)-\left\{-\frac{\pi}{2},-\frac{\pi}{4},-\frac{3 \pi}... | 2:07 | 1 | |
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| 2024-05-20 | The number of solutions of the equation \(\sin x=\cos ^{2} x\) in the interval \((0,10)\) is... | 2:50 | 0 | |
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| 2024-05-20 | If \(0 \leq x<\frac{\pi}{2}\), then the number of values of \(x\) for which \(\sin x\) \(-\sin... | 6:38 | 1 | |
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| 2024-05-20 | Let \(S=\left\{x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right): 9^{\tan ^{2} x}+9^{1-\tan ^{2} x}... | 2:47 | 3 | |
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