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The tangents to the parabola y^(2)=4ax a...

The tangents to the parabola `y^(2)=4ax` at P`(t_(1))` and `Q (t_(2))` intersect at R. The area of `Delta` PQR is

A

`(1)/(2) a^(2)(t_(1)-t_(2))^(2)`

B

`(1)/(2)a^(2)(t_(1)-t_(2))`

C

`(1)/(2)a^(2)(t_(1)-t_(2))^(3)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

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  2. The area of the triangle inscribed in the parabola y^(2)=4x the ordina...

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  3. The tangents to the parabola y^(2)=4ax at P(t(1)) and Q (t(2)) inters...

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  4. The orthocentre of the triangle formed by three tangents to the parabo...

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  5. Prove that the orthocentre of the triangle formed by any three tangent...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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