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The centres of the circles are (a,c) and...

The centres of the circles are (a,c) and (b,c) and their radical axis is the y-axis . The radical of one of the circle is r . The radius of the other circle is

A

`r^(2) - a^(2) + b^(2)`

B

`2(r^(2) - a^(2) + b^(2))`

C

`sqrt(r^(2) - a^(2) + b^(2))`

D

`2sqrt(2) - a^(2) + b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. Let C(1) -= x^(2) + y^(2) - 2x - 4y = 0 . C(2) = x^(2) + y^(2) + 2x ...

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  2. If the radical axis of two circles with centres A and B bisects AB the...

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

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  4. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

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  5. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

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  6. The circles x^(2) + y^(2) = 1 , x^(2) + y^(2) + 6x - 2y = 1 " and " ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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