The loucs of the centre of the circle wh...

The loucs of the centre of the circle which cuts orthogonally the circle `x^(2)+y^(2)-20x+4=0` and which touches x=2 is

A

`x^2=16y`

B

`y^2=4x`

C

`y^2=16x`

D

`x^2=4y`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The locus of the center of a circle which cuts orthogonally the parabola y^2=4x at (1,2) is a curve

Find the equation of the circle which cuts orthogonally the circle x^2+y^2-6x+4y-12=0 and having the centre at (-1,2).

Find the equation of the circle which cuts orthogonally the circle x^2+y^2-4x+2y-7=0 and having the centre at (2,3)

Find the equation of the circle which cuts orthogonally the circle x^2 + y^2 – 6x + 4y -3 = 0 ,passes through (3,0) and touches the axis of y.

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

Find the equation of the circle concentric with the circle x^2 + y^2 - 4x - 6y - 3 = 0 and which touches the y axis

The locus of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 4 & x^2 + y^2-2x + 6y + 1 =0 is :

The locus of the centre of the circle which moves such that it touches the circle (x + 1)^(2) + y^(2) = 1 externally and also the y-axis is

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

The locus of the centres of the circles which touch x^2+y^2=a^2 and x^2+y^2=4ax, externally