Home
Class 12
MATHS
If alpha " and " beta ( alpha gt beta) ...

If `alpha " and " beta ( alpha gt beta) ` are roots of the equation ` x^(2) - sqrt2 x + sqrt( 3 - 2 sqrt 2 ) = 0", then the value of " ( cos^(-1) alpha + tan^(-1) alpha + tan ^(-1) beta) ` is equal to

A

`(3pi)/8`

B

`(5pi)/8`

C

`(7pi)/8`

D

`pi/3 `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , then the value of (1)/(pi) [tan ^(-1) (alpha) + tan^(-1) (beta)] is ________

If alpha,beta " are the roots of the equation "x^(2) - 2x - 1 =0, "then what is the value of " alpha^(2)beta^(-2)+alpha^(-2)beta^(2)

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are.-

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are

If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the value of |tan^(-1)alpha-tan^(-1)beta| is

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to