Home
Class 12
MATHS
If a, b gt 0 and Delta (x)|(x,a,a),(b,x,...

If `a, b gt 0 and Delta (x)|(x,a,a),(b,x,a),(b,b,x)|`, then

A

`Delta(x)` is increasing in `(-sqrt(ab),sqrt(ab))`

B

`Delta(x)` is decreasing in `(sqrt(ab),oo)`

C

`Delta(x)` has a local minimum at `x=sqrt(ab)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

" if " Delta = |{:(-x,,a,,b),(b,,-x,,a),(a,,b,,-x):}|" then a factor of " Delta " is "

The factors of |(x,a,b),(a,x,b),(a,b,x)| , are

if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

" If " Delta_(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta_(2)= |{:(x,,b),(a,,x):}| are the given determinants then

If Delta(x)=|{:(a,b,c),(6,4,3),(x,x^(2),x^(3)):}| then find int_(0)^(1) Delta (x) dx.

If a >0 and discriminant of a x^2+2b x+c is negative, then Delta = |(a,b,ax +b),(b,c,bx +c),(ax +b,bx +c,0)| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

If b gt 1, x gt 0 and (2x)^(log_(b) 2)-(3x)^(log_(b) 3)=0 , then x is

If a gt 0 and lim_(xrarr oo) {sqrt(x^2+x+1)-(ax+b)}=0 , then (a,b) lies on the line.

If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0 , then a, b, c are in

If f(x)=|(0, x-a, x-b), (x+a, 0, x-c),(x+b, x+c, 0)| , then