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

The tangents at the points `(at_(1)^(2), 2at_(1)), (at_(2)^(2), 2at_(2))` on the parabola `y^(2)=4ax` are at right angles if

A

-1

B

-2

C

-3

D

-4

Text Solution

Verified by Experts

The correct Answer is:
D
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Find the area of that triangle whose vertices are (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2))and(at_(3)^(2),2at_(3)).

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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If x=my+c is a normal to the parabola x^(2)=4ay, then the value of c, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. if P is a point on parabola y^2=4ax such that subtangents and subnorm...

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  18. The normal to the parabola y^(2)=8ax at the point (2, 4) meets the par...

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  19. The graph represented by x=sin^2t, y=2cost is

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  20. The subtangent, ordinate and subnormal to the parabola y^2 = 4ax are i...

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