If \( \lambda, \mu \) are real numbers such that, \( x^{3}-\lambda x^{2}+\mu x-6=0 \) has its re...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=Oz6HfPRtsxA



Duration: 2:05
0 views
0


If \( \lambda, \mu \) are real numbers such that, \( x^{3}-\lambda x^{2}+\mu x-6=0 \) has its real roots and positive, then the minimum value of \( \mu \) is
(a) \( 3(6)^{1 / 3} \)
(b) \( 3(6)^{2 / 3} \)
(c) \( (6)^{1 / 3} \)
(d) \( (6)^{2 / 3} \)
πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-10-27Let \( f(x)=\cos 2 \pi x+x-[x]([ \).\( ] denotes the greatest integer function). Then, number of...
2022-10-27If \( f(x)=\int_{x^{m}}^{x^{n}} \frac{d t}{\ln t}, x0 \) and \( nm \), then (a) \( f^{\prime}(x)...
2022-10-27If maximum and minimum values of the cterin!liat? \[ \left|\begin{array}{ccc} 1+\sin ^{2} x & \c...
2022-10-27Given a function \( y=x^{x}, x0 \) and \( 0x1 \). The values of \( x \) for which the function a...
2022-10-27\( \sin x+\cos x=y^{2}-y+a \) has no value of \( x \) for any \( y \), if \( a \) belongs (a) \(...
2022-10-27If \( f(x)=\left\{\begin{array}{ll}2 x^{2}+\frac{2}{x^{2}}, & 0|x| \leq 2 \\ 3, & x2\end{array}\...
2022-10-27If \( f:[1,10] \rightarrow[\therefore 10] \) is a non-decreasing function and \( g:[1,10] \right...
2022-10-27Let \( f(x)=\left\{\begin{array}{cc}x^{3}-x^{2}+10 x-5, & x \leq 1 \\ -2 x+\log _{2}\left(b^{2}-...
2022-10-27Find the value of \( a \) if \( x^{3}-3 x+a=0 \) has three distinct real roots.
2022-10-27If \( \lim _{x \rightarrow a} f(x)=\lim _{x \rightarrow a}[f(x)]([ \). ] denotes the greater int...
2022-10-27If \( \lambda, \mu \) are real numbers such that, \( x^{3}-\lambda x^{2}+\mu x-6=0 \) has its re...
2022-10-27Number of solution(s) satisfying the equations, \( 3 x^{2}-2 x^{3}=\log _{2}\left(x^{2}+1\right)...
2022-10-27The points for which the function \( f(x)=\int_{1}^{x}\left\{2(t-1)(t-2)^{3}+3(t-1)^{2}(t-2)^{2}...
2022-10-27The largest area of a rectangle which has one side on the \( x \)-axis and the two vertices on t...
2022-10-27The set of values of 'a' for which the function \( f(x)=\frac{a x^{3}}{3}+(a+2) x^{2}+(a-1) x+2 ...
2022-10-27The interval of monotonicity of the function \( f(x)=\frac{x}{\log _{\theta} x} \), is (a) incre...
2022-10-27Least value of the function \( f(x)=2^{x^{2}}-1+\frac{2}{2^{x^{2}}+1} \) is (a) 0 (b) \( \frac{3...
2022-10-27The greatest and the least value of the function, \( f(x)=\sqrt{1-2 x+x^{2}}-\sqrt{1+2 x+x^{2}},...
2022-10-27The point at which the slope of the tangent of the function, \( f(x)=e^{x} \cdot \cos x \) attai...
2022-10-27The minimum value of the polynomial \( x(x+1)(x+2)(x+3) \) is (a) 0 (b) \( \frac{9}{16} \) (c) \...
2022-10-27The coordinates of the point on the curve \( x^{2}=4 y \), which is atleast distance from the li...



Tags:
pw