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P & Q are the points of contact of the t...

P & Q are the points of contact of the tangents drawn from the point T to the parabola `y^(2) = 4ax`. If PQ be the normal to the parabola at P, prove that TP is bisected by the directrix.

A

`1:2`

B

`2:1`

C

`3:1`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
D
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  10. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

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

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  12. The parabola y^2 = 4x and the circle (x-6)^2 + y^2 = r^2 will have no...

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  13. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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  14. If one end of the diameter of a circle is (3, 4) which touches the x-a...

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  15. The point on the parabola y^(2)=8x whose distance from the focus is 8 ...

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  16. Centre of locus of point of intersection of tangent to y^2 = 4ax, if t...

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  17. Two parabolas y^(2)=4a(x-lamda(1))andx^(2)=4a(y-lamda(2)) always touch...

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  18. Tangent to the curve y=x^(2)+6 at a point P(1, 7) touches the circle x...

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  19. The locus of the midpoint of the segment joining the focus to a moving...

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