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

The circles ` (x + a)^(2) + (y + b)^(2) = a^(2), (x + alpha)^(2) + (y + beta)^(2) =beta ^(2)` cut orthogonally if

A

`2(a alpha + b beta) = b^(2) + alpha^(2)`

B

`a alpha + b beta = b^(2) + alpha^(2)`

C

` 2 ( a alpha + b beta) = b^(2) + beta^(2)`

D

`a alpha + b beta = a^(2) + beta^(2)`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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