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If a circle passes through the point (a,b) and cuts the circle `x^2+y^2=k^2` orthogonally then the locus of its centre is

A

`2ax+2by=a^2+b^2+k^2`

B

`ax+by=a^2+b^2+k^2`

C

`x^2+y^2+2ax+2by+k^2=0`

D

`x^2+y^2-2ax+2by+k^2=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
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  3. If a circle passes through the point (a,b) and cuts the circle x^2+y^2...

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  4. The equation of the circle which pass through the origin and cuts orth...

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  5. If the circle x^2+y^2+8x-4y+c=0 touches the circle x^2+y^2+2x+4y-11=0 ...

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  6. The circle passing through (1,1) and cutting the two circles x^2+y^2-4...

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  7. The circle through the two points (-2,5),(0,0) and intersecting x^2+y^...

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  8. A circle passes through origin and has its centre on y = x. If it cuts...

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  9. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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  10. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

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  11. The locus of centres of all circles which touch the line x = 2a and cu...

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  12. If the circles of same radius 'a' and centres at (2, 3) and (5, 6) cut...

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  13. If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + ...

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  14. A line 'I' meets the circle x^2 + y^2 =61 in A, B and P(-5, 6) is such...

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  15. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

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  16. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

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  17. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

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  18. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

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  19. The centres of the circles are (a, c) and (b, c) and their radical axi...

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  20. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

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