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The angle between the tangents to the pa...

The angle between the tangents to the parabola `y^2=4a x` at the points where it intersects with the line `x-y-a=0` is (a)`pi/3` (b) `pi/4` (c) `pi` (d) `pi/2`

A

`pi//3`

B

`pi//4`

C

`pi//6`

D

`pi//2`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. Find the angle between the tangents drawn from the origin to the pa...

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  2. The angle between the tangents drawn from the point (-a, 2a) to y^2=4a...

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  3. The angle between the tangents to the parabola y^2=4a x at the points ...

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  4. P(-3, 2) is one end of focal chord PQ of the parabola y^2+4x+4y=0. The...

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  5. If x=my+c is a normal to the parabola x^(2)=4ay, then the value of c, ...

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  6. Find the equations of the tangent to the given curve at the indicated...

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  7. The tangents at the points (at(1)^(2), 2at(1)), (at(2)^(2), 2at(2)) on...

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  8. If the vertex of the parabola y=x^(2)-8x+c lies on x-axis, then the va...

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  9. If the chord y = mx + c subtends a right angle at the vertex of the p...

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  10. The equation of the tangent at the vertex of the parabola x^(2)+4x+2y=...

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  11. The locus of the point of intersection of the perpendicular tangents t...

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  12. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

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  13. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

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

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  15. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

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  16. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  17. The angle between the normals to the parabola y^(2)=24x at points (6, ...

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  18. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  19. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  20. The length of the subtangent to the parabola y^(2)=16x at the point wh...

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