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Show that A(3,-1) lies on the circle x...

Show that `A(3,-1)` lies on the circle
`x^(2) +_ y^(2) - 2x + 4y = 0`. Also find the other
end of the diameter through A.

Text Solution

Verified by Experts

The correct Answer is:
`( -1,-3) `
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AAKASH SERIES-CIRCLE-EXERCISE -1.1
  1. Find the equation of the circle for which the point given below are th...

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  2. Find the other end of the diameter of the circle x^(2) +y^(2) -8x + 27...

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

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

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  5. Find the equation of the circle passing through (-2,14) and concentric...

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

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

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

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

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

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

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  12. Find the equation of the circle passing through the points (3,4) (...

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

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

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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 points (9, 1), (7, 9), (-2, 12), (6, 10) are concyclic ...

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

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

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