Solveeit Logo

Question

Question: The intercept on the line y = x by the circle x<sup>2</sup> + y<sup>2</sup> –2x = 0 is AB. Equation ...

The intercept on the line y = x by the circle x2 + y2 –2x = 0 is AB. Equation of circle with AB as diameter is-

A

x2 + y2 + x + y = 0

B

x2 + y2 + x – y = 0

C

x2 + y2 –x – y= 0

D

x2 + y2 – x + y = 0

Answer

x2 + y2 –x – y= 0

Explanation

Solution

S + lP = 0

(x2 + y2 – 2x) + l(y – x) = 0

̃ Its centre lies on y = x

\ l = –1 so x2 + y2 – x – y = 0