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If the circumference of the circle `x^(2) + y^(2) + 8x + 8y - b = 0` is bisected by the circle `x^(2) + y^(2) - 2x + 4y + a = 0`, then `a + b =`

A

50

B

56

C

`-56`

D

`-34`

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
  1. find the locus of mid point of chords of circle x^2 +y^2= 25 which sub...

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  2. The equation to the chord of the circle x^(2) + y^(2) = 16 which is bi...

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  3. The locus of the centers of the circles such that the point (2, 3) is...

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  4. Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y –...

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  5. Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...

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  6. The equation of pair of tangents drawn from the point (0,1) to the cir...

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  7. From the point P(16,7), tangents PQ and PR are drawn to the circle x^2...

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  8. Equation of the circle touching the circle x^(2) + y^(2) - 15x + 5y = ...

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  9. The number of common tangents of the circles x^(2) + y^(2) – 2x – 1 = ...

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  10. If the circle x^(2) + y^(2) = 9 touches the circle x^(2) + y^(2) + 6y ...

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  11. If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 i...

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  12. The distance from the center of the circle x^2+y^2=2x to the common ch...

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  13. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

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  14. The locus of the centers of the circles which cut the circles x^(2) + ...

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  15. Two given circles x^(2) + y^(2) + ax + by + c = 0 and x^(2) + y^(2) + ...

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  16. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

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  17. If a^2 + b^2 - 1,m^2 +n^2 =1, then

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  18. Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...

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  19. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

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  20. (6, 0), (0, 6) and (7, 7) are the vertices of a triangle. The circle i...

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