Home Maths Circle and System of Circles Tangent and Normal To a Circle The values of constant term in the equation …
Maths Circle and System of Circles Tangent and Normal To a Circle Single Correct MCQ
Published on: August 14, 2026

The values of constant term in the equation of circle passing through (1, 2) and (3, 4) and touching the line , is

A
7 and 12
B
Only 7
C
Only 12
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

Let circle through (1, 2) and (3, 4) as ends of diameter be and line through these points is .

Family of circles through the points and the line are

.

This circle touches .

Now, radius = perpendicular distance between the centre and the line.

and 12.

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