Maths Circle and System of Circles Equations of Circle, Geometrical Problems Regarding Circle, Centre of The Circle, Radius of The Circle Single Correct MCQ
Published on: August 14, 2026

If is an interior point of the circle and the circle neither cuts nor touches any one of the axes of co-ordinates then

A
p ∈ ∈ (36,47)
B
p ∈ ∈ (16, 47)
C
p ∈ ∈ (16, 36)
D
none of these

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Text Solution

Verified by Experts
The correct answer is:
A

We have then centre and radius of the circle are (4,6) and respectively.

Circle neither cuts nor touches any one of the axes of coordinates then

coordinates of centre > radius i.e.,

⇒ ⇒ ……………..(1)

& y-coordinate of centre > radius

,

⇒ ⇒ …………….(2)

D is interior point of the circle then

CD < radius

⇒ ⇒ …………(3)

from (1), (2) & (3) we obtain

p ∈ ∈ (36, 47).

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