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if the two circles x^2 + y^2 + 2gx + ...

if the two circles
` x^2 + y^2 + 2gx + 2fy = 0 and `
`x^2 + y^2 + 2g'x + 2 f'y = 0 `touch each other then show that f'g = fg'

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The correct Answer is:
(or) gf' = fg'
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-SYSTEM OF CIRCLE-EXERXCISE - 2(b)
  1. Find the equation of the radical axis of the following circles. x^2 ...

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  2. Find the equation of the common chord of the following pair of circles...

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  3. Find the equation of the common chord of the following pair of circles...

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  4. Find the equation of the common chord of the following pair of circles...

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  5. find the equation of the common tangent of the following circles at th...

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  6. find the equation of the common tangent of the following circles at th...

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  7. Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2...

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  8. if the two circles x^2 + y^2 + 2gx + 2fy = 0 and x^2 + y^2 + 2g'...

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  9. Find the radical centre of the following circles. x^2 + y^2 - 4x - 6...

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  10. Find the radical centre of the following circles. x^2 + y^2 + 4x - ...

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  11. Show that the common chord of the circle cles x^2 + y^2 - 6x - 4y + 9...

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  12. Find the equation and length of the common chord of the following circ...

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  13. Find the equation and length of the common chord of the following circ...

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  14. Prove that the radical axis of the circles x^2 + y^2 + 2gx + 2fy + c...

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  15. Show that the circles x^2 +y^2 + 2ax + c = 0 and x^2 + y^2 + 2by ...

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  16. Show that the circles x^2 + y^2 - 2x =0 and x^2 + y^2 + 6x - 6y + 2 = ...

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  17. Find the equation of the circle which cuts the following circles ortho...

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  18. Find the equation of the circle which cuts the following circles ortho...

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  19. Find the equation of the circle which cuts the following circles ortho...

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  20. Find the equation of the circle which intersects each of the following...

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