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The locus of the point of intersection o...

The locus of the point of intersection of the perpendicular tangents to the parabola `x^2=4ay` is .

A

y=a

B

y=-a

C

x=a

D

x=-a

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If the chord y = mx + c subtends a right angle at the vertex of the p...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

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  18. The equation of the parabola whose vertex is at(2, -1) and focus at(2,...

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  19. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

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  20. The vertex of the parabola y^2+6x-2y+13=0 is

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