Consider the following statements:
\( S_{1} \) : If the roots of \( x^{2}-b x+c=0 \) are two con... VIDEO
Consider the following statements:https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-07-03 If the equation whose roots are the squares of the roots the cubic equation \( x^{3}-a x^{2}+b x... 2023-07-03 The value of \( x \) satisfying the equation \( 2^{2 x}-8 \times 2^{x}=-12 \) is
(a) \( 1+\frac{... 2023-07-03 If shown the graph of \( \mathrm{f}(\mathrm{x})=a x^{2}+b x+c \), then
(a) \( a c0 \)
(b) \( b c... 2023-07-03 If the equation \( a x^{2}+b x+c=0, a, b, c \in R \) have non-re roots, then
(a) \( c(a-b+c)0 \)... 2023-07-03 Suppose the quadratic polynomial \( P(x)=a x^{2}+b x+c \) has positive coefficients \( a, b, c \... 2023-07-03 If \( 6 x^{5}+5 x^{3}+x^{2}+4 x-1=a(x-1)^{5}+b(x-1)^{4}+c(x-1)^{3} \) \( +d(x-1)^{2}+e(x-1)+f \)... 2023-07-03 Let \( \alpha=\max _{x \in R}\left\{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\right\} \) and \( \min _... 2023-07-03 The number of positive integral solution of \( x^{4}-y^{4}=3789108 \) is (a) 0 (b) 1 (c) 2 (d) 4 2023-07-03 \( f(x)=\frac{x^{4}-14 x^{2}+25}{x-\frac{5}{x}+2} \), zeroes are in the form \( a \pm \sqrt{b} \... 2023-07-03 If \( \left|x^{2}-\frac{\pi}{4}+\sin x-2\right|=\left|x^{2}-2\right|+|\sin x|+\frac{\pi}{4} \) t... 2023-07-03 Consider the following statements:
\( S_{1} \) : If the roots of \( x^{2}-b x+c=0 \) are two con... 2023-07-03 Number of solutions of the equation
\( \sqrt{3 x-2}+\sqrt{4 x+4}=\sqrt{5 x+1}+\sqrt{4 x-5} \) is... 2023-07-03 The equation \( 2^{2 x}+(a-1) 2^{x+1}+a=0 \) has roots of opposite signs then exhaustive set of ... 2023-07-03 Values of \( \mathrm{k} \) for which the inequality \( k \sin ^{2} x-k \sin x+1 \geq 0 \) is tru... 2023-07-03 The values of \( a \) and \( b \) so that \( x^{4}+12 x^{3}+46 x^{2}+a x+b \) is square of quadr... 2023-07-03 For the equation
\( \sqrt[3]{(a+x)^{2}}+4 \sqrt[3]{(a-x)^{2}}=5 \sqrt[3]{a^{2}-x^{2}} \) incorre... 2023-07-03 If the roots of the equation \( a x^{2}-b x+c=0 \) are \( \alpha, \beta \), then the roots of th... 2023-07-03 If \( a, b, c \in R, a \neq 0 \) and \( (b-1)^{2}4 a c \), then the number of real roots of the ... 2023-07-03 Polynomials \( f(x) \) and \( g(x) \) are defined as follows:
\[
f(x)=x^{2}+a x+2 ; g(x)=x^{2}+2... 2023-07-03 If \( r, s, t \) and \( u \) are roots of \( x^{4}-5 x+3=0 \), then for the equation whose roots... 2023-07-03 Let \( S \) be the set of all non-zero real numbers \( \alpha \) such that the quadratic equatio...
0