Check whether the followings represent function or not (i) …

Maths Functions, Limits, Continuity and Differentiability Definition of Function, Domain and Range, Classification of Functions Subjective Type

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Check whether the followings represent function or not

(i) x 2 + y 2 = 36, y ∈ [0, 6]

(ii) x 2 + y 2 = 36, x ∈ [0, 1]

(iii) x 2 + y 2 = 36, x ∈ [–6, 6]

(iv) x 2 + y 2 = 36

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(i) yes (ii) no (iii) no (iv) no

Sol. x 2 + y 2 = 36 ⇒ y = ±

Equation represents circle of radius 6 with centre (0, 0)

By vertical line test, for every value of x, there are two values of y .

Which contradicts definition of function

So equation doesn’t represents a function.

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