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

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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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. If a circle passes through the point (a,b) and cuts the circle x^2+y^2...

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  2. The equation of the circle which pass through the origin and cuts orth...

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  3. If the circle x^2+y^2+8x-4y+c=0 touches the circle x^2+y^2+2x+4y-11=0 ...

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  4. The circle passing through (1,1) and cutting the two circles x^2+y^2-4...

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  5. The circle through the two points (-2,5),(0,0) and intersecting x^2+y^...

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

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  7. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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

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

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

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

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  12. A line 'I' meets the circle x^2 + y^2 =61 in A, B and P(-5, 6) is such...

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  13. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

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  14. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

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  15. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

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  16. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

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

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  18. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

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

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  20. The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0...

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