Match the following Column - IColumn - II(i) Number of common tangents of the circles x2 + y2 – 2x = 0 and x2 + y2 + 6x – 6y + 2 = 0 is[A] 1(ii) Number of indirect common tangents of the circles x2 + y2 –10y – 4x + 4 = 0& x2 + y2 – 6x – 12y –55 = 0 is [B] 2(iii) Number of common tangents of the circles x2 + y2 – 2x – 4y = 0& x2 + y2 – 8y – 4 =0 is[C] 3(iv) Number of direct common tangents of the circles x2+y2+2x–8y + 13 = 0 & x2 + y2 – 6x – 2y + 6 = 0 is [D] 0

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Maths Circle and System of Circles Tangent and Normal To a Circle Matrix Match Questions

Published on: August 14, 2026

Match the following

Column - I	Column - II
(i) Number of common tangents of the circles x2 + y2 – 2x = 0 and x2 + y2 + 6x – 6y + 2 = 0 is	[A] 1
(ii) Number of indirect common tangents of the circles x2 + y2 –10y – 4x + 4 = 0& x2 + y2 – 6x – 12y –55 = 0 is	[B] 2
(iii) Number of common tangents of the circles x2 + y2 – 2x – 4y = 0 & x2 + y2 – 8y – 4 =0 is	[C] 3
(iv) Number of direct common tangents of the circles x2+y2+2x–8y + 13 = 0 & x2 + y2 – 6x – 2y + 6 = 0 is	[D] 0

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [C]; (ii) [D]; (iii) [A]; (iv) [B]

Ans.

(i) [C]

(ii) [D]

(iii) [A]

(iv) [B]

Sol.

(i) 3

(ii) 0

(iii) 1

(iv) 2

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