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If the normals drawn at the end points of a variable chord PQ of the parabola `y^2 = 4ax` intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

A

x + a = 0

B

x - 2a = 0

C

`y^(2)-4x+6=0`

D

none of these

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The correct Answer is:
B
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. The angle between the tangents drawn form the point (3, 4) to the para...

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  2. Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 i...

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  3. If the normals drawn at the end points of a variable chord PQ of the p...

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  4. If it is not possible to draw any tangent from the point (1/4, 1) to t...

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  5. The number of focal chord(s) of length 4/7 in the parabola 7y^(2)=8x i...

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

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  7. If (h,k) is a point on the axis of the parabola 2(x-1)^2 + 2(y-1)^2 = ...

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  8. If the tangents at two points (1, 2) and (3, 6) as a parabola intersec...

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  9. The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x...

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  10. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

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  11. A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is ...

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  12. Consider a circle with its centre lying on the focus of the parabola, ...

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  13. Show that the locus of a point that divides a chord of slope 2 of the ...

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  14. All chords of the parabola y^(2)=4x which subtend right angle at the o...

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  15. A variable chord PQ of the parabola y=4x^(2) subtends a right angle at...

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  16. P & Q are the points of contact of the tangents drawn from the point T...

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  17. Point on the curve y^(2)=4(x-10) which is nearest to the line x + y = ...

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  18. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

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

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  20. The mirror image of the parabola y^2=4x in the tangent to the parab...

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