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Show that the tangents at the extremitie...

Show that the tangents at the extremities of any focal chord of a parabola intersect at right angles at the directrix.

A

on the axis of the parabola

B

on the tangent at the vertex

C

at the point of intersection of the directrix and the line parallel to the axis of the parabola through the mid-point of the chord .

D

none of these

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PARABOLA-EXERCISE LEVEL-1 (single correct answer type questions )
  1. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. An isosceles triangle is inscribed in the parabola y^2 = 4ax with its ...

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  18. Equation of a family of circle passing through the extremities of the ...

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  19. A triangle ABC is inscribed in the parabola y^(2)=4x such that A lies ...

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  20. P is a point on the parabola y^(2)=4ax whose ordinate is equal to its ...

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