Let be periodic, then p must be

Maths Trigonometrical Equations and in Equations, Properties of Triangles, Height and Distance Periodic Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Rational

Irrational

Positive real number

None of these

Text Solution

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The correct answer is:

Let be periodic with period then

Putting and replace by , we have and

Solving these, we get so and

so As and are non-zero integers. Hence which is rational.

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