Home
Class 11
MATHS
If y+3x =0 is the equation of a chord of...

If `y+3x =0` is the equation of a chord of the circle, `x^2 + y^2-30x = 0`, then the equation of the circle with this chord as diameter is:

A

`x^(2) +y^(2) +3x+9y= 0`

B

`x^(2) +y^(2) -3x+9y= 0`

C

`x^(2) +y^(2) -3x -9y= 0`

D

`x^(2)+y^(2) +3x+9y= 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

y=2x is a chord of the circle x^(2)+y^(2)-10x=0, then the equation of a circle with this chord as diameter is

If y=2x is a chord of the circle x^(2)+y^(2)-10x=0, find the equation of a circle with this chord as diameter.

If y=2x is the chord of the circle x^(2)+y^(2)-4x=0, find the equation of the circle with this chord as diameter.

The equation of a chord of the circle x^(2)+y^(2)+4x-6y=0 is given by x+2y=0. The equation of the circle described on this chord as diameter is

y=mx is a chord of equation of circle x^(2)+y^(2)-2ax=0. Find the equation of circle this chord is diameter of a circle.

y=2x be a chord of the circle x^(2) +y^(2)=10x . Find the equation of a circle whose diameter is this chord.

The equation of the circle and its chord are respectively x^2 + y^2 = a^2 and x + y = a . The equation of circle with this chord as diameter is : (A) x^2 + y^2 + ax + ay + a^2 = 0 (B) x^2 + y^2 + 2ax + 2ay = 0 (C) x^2 + y^2 - ax - ay = 0 (D) ax^2 + ay^2 + x + y = 0

If y=mx be the equation of a chord of the circle prove that the circle of which this chord is the diameter is (1+m^(2))(x^(2)+y^(2))-2a(x+my)=0

Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mid-point is (1,0) , is