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If the distances of two points P and Q on the parabola `y^(2) = 4ax` from the focus of a parabola are 4 and 9 respectively then the distance of the point of intersection of tangents at P and Q from the focus is

A

ST

B

2ST

C

`ST^(2)`

D

`2ST^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. Prove that the orthocentre of the triangle formed by any three tangent...

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  2. The feet of the perpendiculars drawn from the focus of a parabola to t...

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  3. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  4. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  5. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  6. PSQ is a focal chord of a parabola whose focus is S and vertex A . PA ...

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  7. If L,M,N are the three points on the parabola y^(2) = 4ax whose ordin...

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  8. The equation of the normal to the parabola y^(2)=8x at the point t is

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  9. The slope of the normal at (at^(2),2at) of the parabola y^(2)=4ax is

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  10. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  11. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  12. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

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  13. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

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  14. If the normals at the point t(1) and t(2) on y^(2)=4ax intersect at t...

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  15. The number of normals drawn to the parabola y^(2)=4x from the point (...

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  16. The number of normals that can be drawn through (-1,4) to the parabola...

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  17. From a point (C, 0) three normals are drawn to the parabola y^(2) = x....

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  18. If the tangents and normals at the extremities of a focal chord of a p...

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  19. The normals at three points P,Q,R of the parabola y^(2)=4ax meet in (...

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  20. The ordinate of the centroid of the triangle formed by conormal points...

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