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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 a circle for which `overline(AB)` is a diameter.

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The correct Answer is:
`x^(2) + 2xa + y^(2) + 2py - b^(2) - q^(2) = 0`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(a)
  1. Obtain the parametric equation of each of the following circles. x...

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  2. Obtain the parametric equation of each of the following circles. x...

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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. Show that A(3,-1) lies on the circle x^(2) + y^(2) - 2x + 4y = 0. Al...

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  5. Show that A(-3,0) lies on x^(2)+y^(2) + 8x+ 12 y + 15 = 0 and find the...

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

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

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

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  9. Find the equation of the circle whose centre lies on the X- axis and...

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

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

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

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

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

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  15. Find the equation of the circle passing through (0,0) and making int...

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  16. Find the equation of the circle passing through (0,0) and Making int...

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

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

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

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

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