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If the circle x^(2) + y^(2) + 8x - 4y +...

If the circle ` x^(2) + y^(2) + 8x - 4y + c = 0 ` touches the circle ` x^(2) + y^(2) + 2x + 4y - 11 = 0 ` externally and cuts the circle ` x^(2) + y^(2) - 6x + 8y + k = 0 ` orthogonally then k =

A

59

B

`-59`

C

19

D

`-19`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The circles orthogonal to the three circles x^(2) + y^(2) + a(i)x + b...

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  18. A circle passes through origin and has its centre on y = x . If it cut...

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  19. Find the equation of the circle passing through the origin, having its...

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  20. The circle with centre on the line 2x - 2y + 9 = 0 and cutting the c...

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