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If the abscissae of points A, B are the ...

If the abscissae of points A, B are the roots of the equation `x^(2) + 2ax -b^(2) =0 ` and ordinates of A, B are roots of ` y^(2) + 2py -q^(2) =0 , ` then find the equation of the circle for which AB is a diameter.

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The correct Answer is:
`x ^(2) + y^(2) + 2ax + 2py-(b^(2) + q^(2)) =0`
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AAKASH SERIES-CIRCLE-EXERCISE -1.1
  1. Show that A(-3,0) lies on x^(2)+y^(2) + 8x+ 12 y + 15 = 0 and find the...

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  2. Find the equation of a circle which is concentirc with x^(2) = y^(2)...

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  3. If the abscissae of points A, B are the roots of the equation x^(2) + ...

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  4. Find the equation of the circle passing through (2,-3) , (-4,5) and ha...

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  5. Find the equation of a circle which passes through (4,1) (6,5) and h...

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  6. Find the equation of a circle which passes through (2,-3) and (-4,5)...

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  7. If ABCD is a square , then show that the points, A, B, C and D are con...

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  8. Find the centre of the circle passing through the points (0,0), (2,0...

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  9. Find the equation of circle passing through each of the following th...

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  10. Find the equation of circle passing through each of the following th...

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  11. Find the equation of circle passing through each of the following th...

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  12. Show that the following four points in each jof the following are co...

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  13. Show that the following four points in each jof the following are co...

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  14. Show that the following four points in each jof the following are co...

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  15. Show that the following four points in each of the following are concy...

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  16. If (2,0),(0,1),(4,5) and (0,c) are concyclic then find c.

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  17. Find the equation of the circum circle of the triangle formed by the l...

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  18. Find the equation of the circum circle of the triangle formed by the l...

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  19. Find the equation of the circum circle of the triangle formed by the l...

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  20. Find the equation of the circum circle of the triangle formed by the l...

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