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If the angle between the circlex `x^(2) + y^(2) - 2x - 4y + c = 0` and `x^(2) + y^(2) - 4x - 2y + 4 = 0` is `60^(@)`, then c is equal to

A

`(3 pm sqrt(5))/(2)`

B

`(6 pm sqrt(5))/(2)`

C

`(9 pm sqrt(5))/(2)`

D

`(7 pm sqrt(5))/(2)`

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Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The angle at which the circles x^(2) + y^(2) + 8x - 2y - 9 = 0 , x^(2)...

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  2. The point (3,-4) lies on both the circles x^(2) + y^(2) - 2x + 8y + 1...

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  3. If the angle between the circlex x^(2) + y^(2) - 2x - 4y + c = 0 and x...

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  4. If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x ...

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  5. If x^(2) + y^(2) - 2x + 3y + k = 0 " and " x^(2) + y^(2) + 8x - 6y =...

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  6. If the circle x^(2) + y^(2) + 2x - 2y + 4 = 0 cuts the circle x^(2) +...

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  7. If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^...

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  8. If the circles x^(2) + y^(2) - 2lambda x - 2y - 7 = 0 and 3(x^(2) + y^...

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  9. The circles (x + a)^(2) + (y + b)^(2) = a^(2), (x + alpha)^(2) + (y +...

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  10. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

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  11. If the circles of same radius a and centre (2, - 3), (-4, 5) cut ortho...

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  12. Find the equation of the circle which cuts orthogonally the circle x^2...

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

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  14. The equation of the circle passing through (0,0) and cutting orthogona...

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  15. The equation of the circle which passes the origin and cuts orthogonal...

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  16. The equation of the circle cutting orthogonally the circles x^(2) + ...

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  17. Find the equation of the circle which is orthogonal to each of the fol...

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  18. The equation of the circle which cuts orthogonally the three circles ...

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  19. A circle S cuts three circles x^(2) + y^(2) - 4x - 2y + 4 = 0 , x^(2...

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  20. The equation of the circle which cuts orthogonally the three circles ...

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