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The angle between the two tangents drawn...

The angle between the two tangents drawn from the point (1,4) to the parabola `y^(2)=12 x` is

A

`tan ^(-1)((1)/(2))`

B

`tan ^(-1)((1)/(3))`

C

`tan ^(-1)(2)`

D

none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  2. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

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  3. The angle between the two tangents drawn from the point (1,4) to the p...

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  4. The vertex of the parabola is (4,0) and the y -axis is the directrix. ...

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  5. A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the ...

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  6. If y=m x+4 is a tangent to y^(2)=6 x, then m=

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  7. If y(1) and y(2) are the ordinates of two points P and Q on the parabo...

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  8. If (0,4) and (0,2) are respectively the vertex and focus of a parabola...

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  9. The distance between the directrix and latus rectum of a parabola is 4...

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  10. The directrix of the parabola y^(2)=16 x is

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  11. The co - ordinates of a point on the parabola y^(2) =8x whose focal d...

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  12. If x=m y+c is a normal to the parabola x^(2)=4 a y, then the value of ...

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  13. Angle substended by the latus rectum at the origin is

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  14. Locus of the point of intersection of normals to the parabola y^(2)=4 ...

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  15. The tangent to a parabola at the vertex A and any point P meet at Q ...

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  16. An equilateral triangle is inscribed in the parabola y^(2)=4ax, where ...

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  17. If 2 x+y+lambda=0 is a normal to the parabola y^(2)=8 x, then lambda=

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  18. Two ends of the latus rectum of a parabola are (4,6) and (-2,6), then ...

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  19. In each of the following find the coordinates of the focus , axis of t...

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  20. The line 2 x-3 y+5=0 is a tangent to the parabola y^(2)=4 a x, then a=

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