Home
Class 12
MATHS
If ax^2+b/x gec for all positive x, wher...

If `ax^2+b/x gec` for all positive x, where `a,b,gt 0` then

A

`27ab^(2)ge4c^(3)`

B

`27ab^(2)lt4c^(3)`

C

`4ab^(2)ge27c^(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 2|4 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If ax+(b)/(x)>=c for all positive x, where a,b,c>0, then-

If ax+(b)/(x)>=c for all positive x where a,b,>0, then ab =(c^(2))/(4) (c) ab>=(c)/(4) (d) none of these

If ax^(2)+(b)/(x)>=c for all positive x where a>0 and b>0, show that 27ab^(2)>=4c^(3).

If ax+(b)/(x)>=c for all positive xa,b>0, then

If ax^(2)+b/x ge c, AA x gt0 , where agt0,bgt0 then

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.

The minimum value of a tan^2 x+b cot^2x equals the maximum value of a sin^ 2 theta + b cos^2 theta where a gt b gt 0 when

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If a gt b, " then " ac gt bc for all a, b and c in R , where c gt 0 . (True/False)