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If the lines x(sinalpha+sinbeta)-ysin(al...

If the lines `x(sinalpha+sinbeta)-ysin(alpha-beta)=3` and `x(cosalpha+cosbeta)+ycos(alpha-beta)=5` are perpendicular then `sin2alpha+sin2beta` is equal to:

A

`sin(alpha-beta)-2sin(alpha+beta)`

B

`sin2(alpha-beta)-2sin(alpha+beta)`

C

`2sin(alpha-beta)-sin(alpha+beta)`

D

`sin2 (alpha-beta)-sin(alpha+beta)`

Text Solution

Verified by Experts

The correct Answer is:
B
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