First slide

Definition of a circle

Question

Two circles, each of radius 5, have a common tangent at (1, 1) whose equation is $3 x + 4 y - 7 = 0$ . Then, their centres, are

Moderate

A

$(4, - 5), (- 2, 3)$
B

$(4, - 3), (- 2, 5)$
C

$(4, 5), (- 2, - 3)$
D

none of these

Solution

Clearly, (1, 1) is the mid-point of the line segment joining the centres of the circles and centres lie on the line passing through (1, 1) and perpendicular to $3 x + 4 y - 7 = 0$ i.e. $4 x - 3 y - 1 = 0$ Clearly, coordinates of points given in option (c) satisfy these two conditions..

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App