Number of values of a for which the comm...

Number of values of `a` for which the common chord of the circles `x^2+y^2=8` and `(x-a)^2+y^2=8` subtends a right angle at the origin is

A

0

B

2

C

5

D

3

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^(2) +y^(2) =16 subtend a right angle at the origin then ' lambda' is equal to :

Find the locus of the mid point of the circle x^2+y^2=a^2 which subtend a right angle at the point (p,q)

All the chords of the curve 2x^(2) + 3y^(2) - 5x =0 which subtend a right angle at the origin are concurrent at :

Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the origin.

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (c ,0)dot

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is

The normal chord of a parabola y^2= 4ax at the point P(x_1, x_1) subtends a right angle at the