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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 `Aa n dB` meet the y-axis at `A_1a n dB_1` , respectively. If the area of trapezium `AA_1B_1B` is equal to `12 a^2,` then the angle subtended by `A_1B_1` at the focus of the parabola is equal to `2tan^(-1)(3)` (b) `tan^(-1)(3)` `2tan^(-1)(2)` (d) `tan^(-1)(2)`

A

`tan ^(-1)2`

B

`tan ^(-1)3`

C

`2tan ^(-1)2`

D

`2tan ^(-1)3`

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. If the normals to the parabola y^2=4a x at P meets the curve again at ...

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  2. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  3. about to only mathematics

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  4. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

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  5. From a point (sintheta,costheta), if three normals can be drawn to the...

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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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  7. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  8. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  9. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

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

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

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

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  17. If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...

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  18. The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...

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  19. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

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  20. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

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