Home
Class 11
MATHS
If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4...

If `y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x), x in(0,pi/2)` , then

A

`-3/2leyle1/2`

B

`1leyle1/2`

C

`-5/3leyle1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (More than One correct answer Type Questions)|8 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (Linked Comprehension Type Questions)|11 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

Similar Questions

Explore conceptually related problems

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

16 sin x cosx cos 2x cos 4x cos 8x in

cos 4x =1- 8 sin ^(2) x cos ^(2) x

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

(cos 4x +cos 3x + cos 2x )/( sin 4x + sin 3x + sin 2x)= cot 3x

If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(sin^(2)x,cos^(2)x,1+4sin2x)| then the maximum value of f(x) is

int (sin^(3)x)/(sin^(2)xcos^(2)x)dx=

If y=1+4sin^2 x cos^(2) x , then

sin 2x.sin 3x.sin 4x