Maths Circle and System of Circles Equations of Circle, Geometrical Problems Regarding Circle, Centre of The Circle, Radius of The Circle Matrix Match Questions
Published on: August 13, 2026

Match the following:

Column - I

Column - II

(i) The circles x2 + y2 + 2x + c = 0

and x2 + y2 + 2y + c = 0 touch each    

other

[A] If c = 1

(ii) The circles

x2 + y2 + 2x + 3y + c = 0 and

x2 + y2 – x + 2y + c = 0 intersect

orthogonally        

[B] If c < ½

(iii) The circle x2 + y2 = 9

contains the circle

x2 + y2 – 2x + 1 – c2 =

[C] If c = ½

(iv) The circle x2 + y2 = 9

contained in the circle x2 +

y2 – 6x – 8y + 25 – c2 = 0

[D] If c > 8

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
(i) [C]; (ii) [A]; (iii) [B]; (iv) [D]

Ans.

(i) [C]

(ii) [A]

(iii) [B]

(iv) [D]

Sol.

(i) If c = ½

(ii) If c = 1

(iii) If c < ½

(iv) If c > 8

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