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If P (at(1)^(2),2at(1)) and Q (at(2)^(2)...

If P `(at_(1)^(2),2at_(1))` and Q `(at_(2)^(2),2at_(2))` are two variable points on the curve `y^(2)=4ax` and PQ subtends a right angle at the vertex then `t_(1)t_(2)` =

A

`-1`

B

`-2`

C

`-3`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

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  2. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

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  3. If P (at(1)^(2),2at(1)) and Q (at(2)^(2),2at(2)) are two variable poin...

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  4. The length of the chord of contact of tangents drawn from (x(1),y(1)) ...

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  5. The area of the triangle formed by the tangents and chord of contact f...

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  6. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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