Home
Class 11
MATHS
tan alpha and tan beta are roots of the ...

`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

A

ab

B

b

C

`(a)/(b)`

D

a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If alpha and beta are the roots of the equation x^(2)-7x+1=0 , then the value of 1/(alpha-7)^(2)+1/(beta-7)^(2) is :

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

Let alpha and beta be the roots of the equation px^(2) + qx + r=0 . If p, q, r in AP and alpha+beta =4 , then alpha beta is equal to

If alpha and beta are the roots of 4x^(2) + 2x - 1 = 0 , then beta is equal to

If alpha and beta are the roots of the equation 2x^(2)+2(a+b)x +a^(2)+b^(2)=0 , then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) .

If alpha and beta are the roots of the equations x^(2) - 6x +a=0 and satisfy the relations 3 alpha + 2 beta= 16 , then the value of a is :