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If the co-ordinates of the points P, Q, ...

If the co-ordinates of the points P, Q, S are `(at^2, 2at)`, `(a/t^2, (2a)/t)` and (a, 0) respectively, prove that `1 /(SP) + 1/(SQ)` is constant.

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KALYANI PUBLICATION-Co-ordinate Geometry-EXERCISE
  1. Show that the quadrilateral with the vertices (7, 3), (3, 0), (0, -4),...

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  2. Prove that (3, 4), (4, 2), (5, 4) and (4, 6) are the vertices of a rho...

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  3. If the co-ordinates of the points P, Q, S are (at^2, 2at), (a/t^2, (2...

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  4. If D is the middle point of the side BC of the triangle ABC, prove tha...

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  5. find the co-ordinates of the middle points of the line segment joining...

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  6. find the co-ordinates of the middle points of the line segment joining...

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  7. find the co-ordinates of the middle points of the line segment joining...

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  8. the end points of a line and the ratio in which it is divided by a poi...

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  9. the end points of a line and the ratio in which it is divided by a poi...

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  10. the end points of a line and the ratio in which it is divided by a poi...

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  11. the end points of a line and the ratio in which it is divided by a poi...

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  12. if(2, P) is the mid-point of the line segment joining to the point A(6...

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  13. if (x,3) is the mid-point of the line segment joining the points A(6,4...

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  14. in what ratio does the point P(2,5) divide the line joining the point...

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  15. find the ratio in which the point P(-6,a) divides the joint of A(-5,-...

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  16. find the ratio in which the point(-3, k) divides the join of A(-5,-4) ...

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  17. in what ratio the x-axis divides the line segment joining pair of poi...

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  18. in what ratio the x-axis divides the line segment joining pair of poi...

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  19. in what ratio the x-axis divides the line segment joining pair of poi...

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  20. in what ratio the y axis divides the line segment joining pair of poin...

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