If A= sin^(2) x + cos^(4) x then for all...

If `A= sin^(2) x + cos^(4) x` then for all real x

A

`13//16 le A le 1`

B

`1 le A le 2`

C

`3//4 le A le 13//16`

D

`3//4 le A le 1`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If A = "sin"^(2)x + cos^(4)x then for all realx :

Let y=sin^(2)x+cos^(4)x . Then, for all real x (a) the maximum value of y is 2 (b) the minimum value of y is 3/4

A function f (x) which satisfies, f ' (sin ^(2)x) = cos ^(2) x for all real x & f (1)=1 is

If A = sin^(2)x + cos^(4)x , where x in a real number

If x=cos^(2)theta+sin^(4)theta then for all real values of theta

If a=(1)/(5cos x+12sin x) then for all real x

" If "sin^(-1)(sin4)+x^(2)>" ax for all real values of "x" then "a" lies in "