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The circle with centre (1, 2) cuts the c...

The circle with centre (1, 2) cuts the circle `x^2 + y^2 + 14x - 16y + 77 = 0` orthogonally then its radius is

A

4

B

8

C

3

D

2

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-SYSTEM OF CIRCLES-Practice Exercise
  1. If the circles of same radii and with centres (1, 3), (9, 11) cut orth...

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  2. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

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  3. The circle with centre (1, 2) cuts the circle x^2 + y^2 + 14x - 16y + ...

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  4. If the angle between two equal circles with centres (3, 10) (-5, 4) is...

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  5. If a circle through the point (2, 3) cuts x^2 + y^2 = 8 orthogonally t...

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  6. The circle through origin and cutting x^2+y^2-3x-18=0 and x^2+y^2-4y-2...

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  7. The equation of the circle passing through (-1, -1) and cutting the ci...

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  8. The circle passing through the points (2, 3), (0, 0) and intersecting ...

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  9. The point (3, 1) is a point on a circle C with centre (2, 3) and C is ...

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  10. The locus of the centre of the circle cutting the circles x^2+y^2–2x-6...

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  11. Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is

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  12. The common tangent at the point of contact of the two circles x^2+y^2-...

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  13. For the circles 3x^2+3y^2+x+2y-1=0 , 2x^2+2y^2+2x-y-1=0 radical axis i...

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  14. The distance of the point (1, 2) from the common chord of the circles ...

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  15. The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 ...

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  16. The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2...

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

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  18. If C1 (1, 3) and C2(4, 3)are the centres of two circles whose radical ...

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  19. The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y...

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

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