Home
Class 11
MATHS
The intercept on the line y=x by the cir...

The intercept on the line y=x by the circle `x^(2)+y^(2)-2x=0` is AB. Then equation of the circle on AB as a diameter is

A

`x^(2) +y^(2)+ x- y= 0`

B

`x^(2) +y^(2)-x+ y= 0`

C

`x^(2) +y^(2)+x+y= 0`

D

`x^(2) +y^(2)-x-y= 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equation of the circle with AB as a diameter is (A) (x-1/2)^3+(y-1/2)^2=1/2 (B) (x-1/2)^2+(y-1/2)^2=1/4 (C) (x+1/2)^2+(y+1/2)^2=1/2 (D) (x+1/2)^2+(y+1/2)^2=1/4

The intercept on line y=x by circle x^(2)+y^(2)-2x=0 is AB.Find equation of circle with AB as a diameter.

The line 2x-y+6=0 meets the circle x^(2)+y^(2)-2y-9=0 at A and B. Find the equation of the circle on AB as diameter.

The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)+2x+3y-5=0 in A &B. Then the equation of the circle on AB as a diameter is:

If line y= 2x meets circle x^(2) + y^(2) - 4x = 0 in point A and B , then equation of circle of which AB is diameter is