Home
Class 12
MATHS
If cos^(-1) x - cos^(-1). y/2= alpha ", ...

If `cos^(-1) x - cos^(-1). y/2= alpha ", then " 4x^(2) - 4xy cos alpha + y^(2) ` is equal to

A

4

B

`2 sin^(2) alpha`

C

`-4 sin^(2) alpha`

D

`4 sin^(2) alpha`

Text Solution

Verified by Experts

The correct Answer is:
d
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

Similar Questions

Explore conceptually related problems

If cos^(-1)x-"cos"^(-1)y/2=alpha , then 4x^(2)-4xycos alpha+y^(2) is equal to

If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha , then 4x^(2)-4xy cos alpha+y^(2) is equal to :

Knowledge Check

  • If cos^(-1)(x//2) + cos^(-1)(y//3) = theta , then 9x^(2) - 12xy cos theta + 4y^(2) is equal to

    A
    0
    B
    36
    C
    `36 sin^(2) theta`
    D
    `36 cos^(2) theta`

  • If cos^(-1) ""x/2 + cos^(-1)"" y/3 = theta, " then " 9x^2-12xy cos theta +4y^2=

    A
    `36 sin^2 theta`
    B
    `36 cos^2 theta`
    C
    `36 tan^2 theta`
    D
    none

  • If cos^(-1)(x//a) + cos^(-1)(y//b) = alpha . Then x^(2)//a^(2) + y^(2)//b^(2) is equal to

    A
    `(2xy//ab) cos alpha + sin^(2) alpha`
    B
    `(2xy//ab) sin alpha + cos^(2) alpha`
    C
    `(2xy//ab) cos^(2) alpha + sin alpha`
    D
    `(2xy//ab) sin^(2) alpha + cos alpha`

    • Similar Questions

    Explore conceptually related problems

    If cos^(-1)x-cos^(-1)y=alpha, then x^(2)+y^(2)-2xy cos alpha is equal to

    If cos^-1 x- cos^-1 (y/2)=alpha, then 4x^2-4xycosalpha+y^2 is equal to (A) 4 (B) 2sin2alpha (C) -4sin^2alpha (D) 4sin^2alpha

    If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to 4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

    If cos^(-1)(x/a) + cos^(-1) (y/b) = alpha show that : (x^2)/(a^2) - (2xy)/(ab) cos alpha + (y^2)/(b^2) = sin^(2) alpha .

    If cos^(-1)x - cos^(-1)(1/2y) = alpha, -1 le x le 1, -2 le y le 2, x le y//2 , then for x,y,4x^(2) - 4xy cos alpha + y^(2) is equal to

    Home
    Profile