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Find the locus of the foot of the perpen...

Find the locus of the foot of the perpendiculars drawn from the vertex on a variable tangent to the parabola `y^(2)=4ax`.

A

the directrix

B

tangent at the vertex

C

x = a

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  2. If the line x + y = 1 touches the parabola y^2-y + x = 0, then the coo...

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  3. Find the locus of the foot of the perpendiculars drawn from the vertex...

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  4. Equation of line touching both the parabolas y^2=4x & x^2=-32y

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  5. If t is the parameter for one end of a focal chord of the parabola y^2...

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  6. Find the equation of normal to the parabola y^2=4axat point (at^2, 2at...

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  7. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

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  8. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  9. The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whos...

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  10. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  11. Find the point on the curve y^(2)=ax the tangent at which makes an ang...

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

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  13. Find the angle at which the parabolas y^2=4x and x^2=32 y intersect.

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  14. The normal at (a,2a) on y^2 = 4ax meets the curve again at (at^2, 2at)...

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  15. If a chord which is normal to the parabola at one end subtend a right ...

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  16. Find the equations of the normals at the ends of the latus- rectum of ...

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  17. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

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  18. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

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  19. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  20. Find the angle between the tangents drawn from the origin to the pa...

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