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The length of the common chord of the ci...

The length of the common chord of the circles
` x^(2) + y^(2) + 2hx + a^(2) = 0 , x^(2) + y^(2) - 2ky - a^(2) = 0 ` is

A

`2sqrt((k^(2)+ a^(2)) (h^(2) - a^(2)))/(h^(2) + k^(2))`

B

`sqrt((k^(2)+ a^(2)) (h^(2) - a^(2)))/(h^(2) + k^(2))`

C

`2sqrt((k^(2)+ a^(2)) (h^(2) + a^(2)))/(h^(2) - k^(2))`

D

`2sqrt((2k^(2)+ y^(2)) (h^(2) - x^(2)))/(2h^(2) +3k^(2))`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The length of the common chord of the circles x^(2) + y^(2) + 2gx ...

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

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

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

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  5. If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumfer...

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  6. The common chord of x^(2) + y^(2) - 4x - 4y " and " x^(2) + y^(2) = 16...

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  7. If one of the diameter of the circle , given by the equation , x^(...

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

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  9. The equation of the circle described on the common chord of the circle...

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  10. The equation of the circle whose diamter is the common chord of the ci...

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  11. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

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  12. The circle on the chord x cos alpha + y sin alpha = p of the circle ...

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  13. The intercet on the line y = x by the circle x^(2) + y^(2) - 2x = 0 ...

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  14. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

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  15. If the chord of contact of tangents from a point to a given circle pas...

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  16. The equation of the circle passing through the origin and the point of...

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

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  18. Find the equation of the circle passing therough the points of interse...

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  19. The equation of the circle passing through the point of intersection o...

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  20. The equation of the circle passing through the point of intersection o...

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