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If the circle x^(2) +y^(2) + 2gx + 2fy ...

If the circle ` x^(2) +y^(2) + 2gx + 2fy + c = 0 ` bisects the circumference of the circle
` x^(2) +y^(2) + 2g'x + 2f'y + c' = 0 ` , them the length of the common chord of these two circles is

A

`2sqrt(g^(2) + f^(2) - c)`

B

`2sqrt(g'^(2)+ f'^(2)- c')`

C

`2sqrt(g^(2)+ f^(2)- c)`

D

`2sqrt(g'^(2) + f'^(2) + c')`

Text Solution

Verified by Experts

The correct Answer is:
B
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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) + 2hx +...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The equation of the circle passing through the points of intersection ...

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

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