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If the normals to the parabola y^2=4a x ...

If the normals to the parabola `y^2=4a x` at `P` meets the curve again at `Q` and if `P Q` and the normal at `Q` make angle `alpha` and`beta` , respectively, with the x-axis, then `t a nalpha(tanalpha+tanbeta)` has the value equal to 0 (b) `-2` (c) `-1/2` (d) `-1`

A

-2

B

-1

C

`-1/2`

D

0

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ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Single Option Correct Type Questions)
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  8. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

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  12. An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...

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  13. C is the center of the circle with center (0, 1) and radius unity. P i...

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  14. Let S be the focus of y^2=4x and a point P be moving on the curve such...

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  15. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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  16. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

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  17. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  18. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...

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