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Question

Mathematics Question on Trigonometric Identities

Let p,q and r be real numbers such that r>p2+q2|r|\gt\sqrt{p^2+q^2}.Then the equation pcosθ+qsinθ=rp\cos\theta+q\sin\theta=r has

A

exactly one real solution.

B

exactly two real solutions.

C

infinite number of real solutions.

D

no real solution.

E

integer solution.

Answer

no real solution.

Explanation

Solution

The correct option is (D): no real solution.