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Perpendiculars are drawn on a tangent to...

Perpendiculars are drawn on a tangent to the parabola `y^2 = 4ax` from the points `(a +- k,0).` The difference of their squares is

A

4

B

4a

C

4k

D

4ak

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-PARABOLA-EXERCISE LEVEL-1 (single correct answer type questions )
  1. The line x+y=6 is normal to the parabola y^(2)=8x at the point.

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  2. The length of the chord of the parabola y^(2)=4ax whose equation is ...

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  3. Perpendiculars are drawn on a tangent to the parabola y^2 = 4ax from t...

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  4. If the normal drawn form the point on the axis of the parabola y^(2)=8...

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  5. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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  6. For the parabola y^(2)+8x-12y+20=0

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  7. Show that the tangents at the extremities of any focal chord of a par...

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  8. The coordinates of an end-point of the rectum of the parabola (y-1)^(2...

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  9. The equation of tangent to the parabola y^2 = 9x, which pass through t...

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  10. The point on the parabola y ^(2) = 36x whose ordinate is three times t...

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  11. Which of the following equation does not represent a pair of li...

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  12. If the line x+y=a touches the parabola y=x-x^2, then find the value of...

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  13. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

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  14. The equation of a common tangent of the parabolas y^2= 4ax and x^2 = 4...

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  15. y= -2x+12a is a normal to the parabola y^(2)=4ax at the point whose d...

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  16. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  17. If the area of the triangle inscribed in the parabola y^(2)=4ax with o...

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  18. Length of the tangent drawn from an end of the latus rectum of the par...

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  19. If the tangents at the extremities of a focal chord of the parabola x...

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  20. Equation of the tangent at a point P on the parabola y^(2)=4ax, the no...

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