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The locus of centres of all circles whic...

The locus of centres of all circles which touch the line x = 2a and cut the circle `x^2 + y^2 = a^2` orthogonally is

A

`y^(2) + 4ax - 5a^(2) = 0 `

B

`y^(2) + 4ax + 5a^(2) = 0 `

C

`y^(2) = 4ax + 5a^(2)`

D

`y^(2) = 4ax - 5a^(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 point (3,1) is a point on a circle C with centre (2,3) and C is or...

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  2. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

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  3. The locus of centres of all circles which touch the line x = 2a and cu...

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

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  5. the radical axis of the circles x^(2) + y^(2) + 3x + 4y - 5 = 0 " ...

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  6. The radical axis of the circles x^(2) + y^(2) - 6x - 4y - 44 = 0 " an...

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  7. The equation of the radical axis of the pair of circles 7x^(2) + 7y^(...

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  8. the slope of the radical axis of the circles x^(2) + y^(2) + 3x + 4y ...

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  9. Let C(1) -= x^(2) + y^(2) - 2x - 4y = 0 . C(2) = x^(2) + y^(2) + 2x ...

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

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

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

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

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

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

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

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

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

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

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

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