Match the following: Column - IColumn - II(i) Number of values of a for which the common chord of the circles x2 + y2 = 8 and (x – a)2 + y2 = 8 subtends a right angle at the origin is[A] 4(ii) A chord of the circle (x–1)2 + y2= 4 lies along the line y = 22 (x–1). The length of the chord is equal to[B] 2(iii) The number of circles touching all the three lines 3x + 7y = 2,21x + 49y=5 and 9x + 21y=1 are[C]0(iv) If radii of the smallest and largest circle passing through the point and touching the circle x2 + y2 – y – 2 = 0 are r1 and r2 respectively, then the mean of r1 and r2 is[D]1

CGP Edu

Maths Circle and System of Circles Chord of Contact of Tangent, Pole and Polar Matrix Match Questions

Published on: August 14, 2026

Match the following:

Column - I	Column - II
(i) Number of values of a for which the common chord of the circles x2 + y2 = 8 and (x – a)2 + y2 = 8 subtends a right angle at the origin is	[A] 4
(ii) A chord of the circle (x–1)2 + y2= 4 lies along the line y = 22 (x–1). The length of the chord is equal to	[B] 2
(iii) The number of circles touching all the three lines 3x + 7y = 2, 21x + 49y=5 and 9x + 21y=1 are	[C]0
(iv) If radii of the smallest and largest circle passing through the point and touching the circle x2 + y2 – y – 2 = 0 are r1 and r2 respectively, then the mean of r1 and r2 is	[D]1

Correct Matrix Matching

Verified by Experts

The correct answer is:

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

Ans.

(i) [B]

(ii) [A]

(iii) [C]

(iv) [D]

Sol.

(i) 2

(ii) 4

(iii) 0

(iv) 1

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.