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Find the locus of the point of intersect...

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola `y^2=4a xdot`

A

`y^(2) = 4a(x-3a)`

B

`y^(2) =2a(x-3a)`

C

`y^(2) =a(x-3a)`

D

`y^(2)=16a(x-3a)`

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. If the segment intercepted by the parabola y=4a x with the line l x+m ...

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  2. Find the length of normal chord which subtends an angle of 90^0 at the...

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  3. Find the locus of the point of intersection of the normals at the end ...

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  4. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

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  5. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

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  6. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

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  7. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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  8. The curve is given by x = cos 2t, y = sin t represents

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  9. The vertex of the parabola y^(2) =(a-b)(x -a) is

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  10. Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the...

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  11. The length of a focal chord of the parabola y^(2) = 4ax at a distance...

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  12. The point (a ,2a) is an interior point of the region bounded by the pa...

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  13. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

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  14. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

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  15. If a circle intersects the parabola y^(2) = 4ax at points A(at(1)^(2),...

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  16. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

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  17. Find the number of distinct normals that can be drawn from (-2,1) to t...

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  18. If the chord of contact of tangents from a point P to the parabola y^2...

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  19. The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets ...

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  20. A ray of light moving parallel to x-axis gets reflected from a parabol...

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