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If aa circle passes through the point (a...

If aa circle passes through the point (a,b) and cuts the cirlce ` x^(2) y^(2) = p^(2)` orthogonally , - then the equation of the locus of its centre is

A

`x^(2) + y^(2) - 3ax - 4by + (a^(2) + b^(2) - p^(2)) = 0 `

B

`2ax + 2by - (a^(2) - b^(2) + p^(2) ) =0 `

C

`x^(2) + y^(2) - 2ax - 3by + (a^(2) - b^(2) - p^(2)) = 0 `

D

`2ax + 2by - (a^(2) + b^(2) + p^(2)) = 0`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The circles x^(2) + y^(2) = 1 , x^(2) + y^(2) + 6x - 2y = 1 " and " ...

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  2. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

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  3. If aa circle passes through the point (a,b) and cuts the cirlce x^(2)...

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  4. The locus of the centre of the circle, which cuts the circle x^(2) + y...

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  5. A circle passes through the points (3,4) and cuts the circle x^(2) + ...

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  6. The equation of the common tangent at the point contact of the circles...

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  7. The equation of the common chord of the two circles x^(2) +y^(2) + 2...

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  8. The equation of the common chord of the two circles (x -a)^(2) + (y...

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  9. The distance from (1,2) to the radical axis of the circles x^(2) + ...

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  10. The distanc of the point (1,-2) from the common chord of the circles ...

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  11. The distance of the point (1,-2) from the common chord of the circles ...

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  12. The length of the common chord of the circles of radii 15 and 20, whos...

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  13. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

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  14. The length of the common chord of the two circles x^(2) + y^(2) - 4y ...

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  15. The length of the common chord of the circles x^(2) + y^(2) + 2hx = 0...

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  16. The equation of the common chord of the two circles (x -a)^(2) + (y...

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  17. The length of the common chord of the circles (x - a)^(2) + (y - b)...

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  18. The length of the common chord of the circles x^(2) + y^(2) + 2gx ...

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  19. The length of the common chord of the circle x^(2) + y^(2) + ax + b...

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  20. The length of the common chord of the circles x^(2) + y^(2) + 2hx +...

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