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A circle passes through the points (3,4)...

A circle passes through the points (3,4) and cuts the circle ` x^(2) + y^(2) = a^(2)` orthogonally, the locus of its centre is a straight line . If the distance of this straight line from the origin is 25 , then ` a^(2) = `

A

250

B

225

C

100

D

25

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If aa circle passes through the point (a,b) and cuts the cirlce x^(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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