Home
Class 11
MATHS
If tan A & tan B are the roots of the ...

If `tan A & tan B` are the roots of the quadratic equation `x^2 - ax + b = 0`, then the value of `sin^2 (A +B)` is:

A

`(a^(2))/(a^(2)+ (1-b)^(2))`

B

`(a^(2))/(a^(2)+ b^(2))`

C

`(a^(2))/((a+b)^(2))`

D

`(a^(2))/(b^(2)+ (1-a)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If one root of the quadratic equation x^2-7x+k=0 is 2, find the value of K.

If x=4 is one of the roots of the quadratic equation 3x^2+kx-2=0 , find the value of k.

If one root of the quadratic equation 2x^(2)+kx-2=0 is -2, find the value of k.

If alpha and beta are the roots of quadratic equation 2x^2+4x+3=0 , then the value of alpha+beta=.......

If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6x^(2)-5x+1=0 , then DeltaABC is

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

If one root of quadratic equation kx^2-7x+12=0 is 3, then value of k is………..a) -1 b) 1 c) 3 d)None of these

Write the quadratic equation (x^2-7)/x=7 in ax^2+bx+c=0 form and find the values of a,b,c.

Write the quadratic equation x-6/x=5 in ax^2+bx+c=0 form and find the values of a,b,c.

If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is