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The number of values of theta satisfying...

The number of values of `theta` satisfying `4 cos theta+3 sin theta=5` as well as `3 cos theta + 4 sin theta = 5` is

A

one

B

two

C

zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
On adding given equations, we get
`7(cos theta+ sin theta)=10`
or `cos theta+ sin theta=10/7`
But maximum value of `cos theta+ sin theta=sqrt(1^(2)+1^(2))=sqrt(2) lt 10/7`.
So, no `theta` is possible.
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