Home
Class 12
MATHS
Let alpha, beta are the roots of the equ...

Let `alpha, beta` are the roots of the equation `x^(2)+7x+k(k-3)=0`, where `k in (0, 3)` and `k` is a constant. Then the value of `tan^(-1)alpha+tan^(-1)beta+"tan"^(-1)(1)/(alpha)+"tan"^(-1)(1)/(beta)` is :

A

`pi`

B

`(pi)/(2)`

C

0

D

`-(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNTIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|6 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • LIMIT

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 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 6x^(2)-5x+1=0 , then the value of tan^(-1)alpha+tan^(2)beta is

If alpha,beta are the roots of x^(2)-k(x+1)-c=0 then (1+alpha)(1+beta)=

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