Question

Answer the following questions​

Answer 1

Answer:

B

Step-by-step explanation:

Given : acosθ+bsinθ=m ---( 1 )

asinθ−bcosθ=n ---( 2 )

Squaring (1) and (2), we get

a 2 cos 2 θ+b 2 sin 2 θ+2absinθcosθ=m 2 ---(3)

and

a 2 sin 2 θ+b 2 cos 2 θ−2absinθcosθ=n 2 ---(4)

Adding (3) and (4)

a 2 (sin 2 θ+cos 2 θ)+b 2 (sin 2 θ+cos 2 θ)=m 2 +n2

or

a 2 +b 2 =m 2 +n 2

Hence option B is the answer.