If \( a x+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then (a) \( a b\fra...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=8EMRiy2pu0M



Duration: 1:50
1 views
0


If \( a x+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then
(a) \( a b\frac{c^{2}}{4} \)
(b) \( a b \geq \frac{c^{2}}{4} \)
(c) \( a b \geq \frac{c}{4} \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


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 ...
2022-10-27If \( \lambda, \mu \) are real numbers such that, \( x^{3}-\lambda x^{2}+\mu x-6=0 \) has its re...
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 minimum value of the polynomial \( x(x+1)(x+2)(x+3) \) is (a) 0 (b) \( \frac{9}{16} \) (c) \...
2022-10-27The sum of the legs of a right triangle is \( 9 \mathrm{~cm} \). When the triangle rotates about...
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 minimum value of \( x^{x} \) is attained when \( x \) is equal to (a)e (b) \( e^{-1} \) (c) ...
2022-10-27Find the critical points of \( f(x)=x^{2 / 3}(2 x-1) \).
2022-10-27The least area of the clrcle circumscribing any right trlangle of area \( S \) is (a) \( \pi S \...
2022-10-27The function \( f \) is defined by \( f(x)=x^{p}(1-x)^{q} \) for all \( x \in R \), where \( p, ...
2022-10-27If \( a x+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then (a) \( a b\fra...
2022-10-27If \( a x^{2}+\frac{b}{x} \geq c \) for all positive \( x \), where \( a, b0 \), then (a) \( 27 ...
2022-10-27The coordinates of the point on the curve \( x^{2}=4 y \), which is atleast distance from the li...
2022-10-27The number of critical points of \( f(x)=\max \{\sin x, \cos x\}, \forall x \in(-2 \pi, 2 \pi) \...
2022-10-27The figure shows a right triangle with its hypotenuse \( O B \) along the \( Y \)-axis and its v...
2022-10-27Show that \( x-\frac{x^{3}}{6}\sin x \) for \( 0x\frac{\pi}{2} \)
2022-10-27Show that \( \frac{x}{(1+x)}\log (1+x)x \) for \( x0 \).
2022-10-27Show that \( \sin xx\tan x \) for \( 0x\pi / 2 \).
2022-10-27Let \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be an increasing function on the set \( R \). The...
2022-10-27The interval in which \( f(x)=\cot ^{-1} x+x \) increases, is (a) \( R \) (b) \( (0, \infty) \) ...
2022-10-27Let \( g(x)=f(x)+f(1-x) \) and \( f^{\prime \prime}(x)0, \forall x \in(0,1) \). Then, \( g(x) \)...



Tags:
pw