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