Home
Class 12
MATHS
If alpha and beta are the solution of ...

If `alpha and beta ` are the solution of ` a cos theta + b sin theta = c`, then

A

`sin alpha + sin beta =(2bc)/(a^2+b^2)`

B

`sin alpha sin beta =(c^2-a^2)/(a^2+b^2)`

C

`sin alpha + sin beta =(2ac)/(b^2-c^2)`

D

`sin alpha + sin beta =(c)/(a^2+b^2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the solutions of a cos theta+b sin theta=c, then show that cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))( ii) cos(alpha-beta)=(2c^(2)-(a^(2)+b^(2)))/(a^(2)+b^(2))

If alpha and beta are the solutions roots of a cos theta+b sin theta=c, then choose the correct option (A)sin alpha+sin beta=(2bc)/(a^(2)+b^(2))(B)sin alpha sin beta=(c^(2)-a^(2))/(a^(2)+b^(2))(C)sin alpha+sin beta=(a^(2)-b^(2))/(c^(2)+b^(2))(D)sin alpha sin beta=(a^(2)-b^(2))/(c^(2)+b^(2))(D)

If alpha and beta are the solutions of a cos theta+b sin theta=c, show that sin alpha+sin beta=(2bc)/(a^(2)+b^(2)) and sin alpha sin beta=(c^(2)-a^(2))/(a^(2)+b^(2))

If alpha and beta are the solution of the equation a cos2 theta+b sin2 theta=c then cos^(2)alpha+cos^(2)beta is equal to

If alpha and beta are roots of the equatioin a cos theta + b sin theta = c , then find the value of tan (alpha + beta).