Home
Class 11
MATHS
Let the line segment joining the centres...

Let the line segment joining the centres of the circles `x^(2)-2x+y^(2)=0` and `x^(2)+y^(2)+4x+8y+16=0` intersect the circles at P and Q respectively. Then the equation of the circle with PQ as its diameter is

A

`5x^(2) + 5y ^(2) -2x - 16 y +8=0`

B

`5x ^(2) + 5y ^(2)-8x -24 y + 27=0`

C

`5x ^(2) + 5y ^(2) + 8x + 24y+ 27 =0`

D

`5x ^(2) + 5y ^(2) + 2x + 16 y + 8=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the line segment joining the centres of the circles x^2-2x+y^2=0 and x^2+y^2+4x+8y+16=0 intersect the another circle at P and Q respectively. Then the equation of the circle with PQ as its diameter is

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

If the lines x + y =6 and x + 2y =4 be diameters of the circel whose diameter is 20, then the equation of the circle is

Answer the following:Find the centre and radius of the circle x^2+y^2-x+2y-3=0

If the lengths of the tangents drawn from P to the circles x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0 are in the ratio 2:1 , then the locus of p is

Find the equation of the tangent to the circle x^2+y^2-4x-6y-12=0 at (-1,-1)

Solve the following:findthe centre and radius of the circle x^2+y^2+6x-10y-2=0