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A B is a double ordinate of the parabola...

`A B` is a double ordinate of the parabola `y^2=4a xdot` Tangents drawn to the parabola at `A and B` meet the y-axis at `A_1 and B_1` , respectively. If the area of trapezium `A A_1 B_1B` is equal to `12 a^2,` then the angle subtended by `A_1B_1` at the focus of the parabola is equal to

A

`tan ^(-1)2`

B

`tan ^(-1)3`

C

`2tan ^(-1)2`

D

`2tan ^(-1)3`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
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  6. If two different tangents of y^2=4x are the normals to x^2=4b y , then

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  8. Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...

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  9. A line is drawn from A(-2,0) to intersect the curve y^2 = 4x in P and ...

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  10. An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...

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  11. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

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

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

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

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

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