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The locus of the midpoint of the midpoin...

The locus of the midpoint of the midpoint of the focal distance of a variable point moving on the parabola `y^(2)4ax` is a parabola whose

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The locus of the midpoint of the focal distance of a variable point moving on theparabola y^2=4a x is a parabola whose (a)latus rectum is half the latus rectum of the original parabola (b)vertex is (a/2,0) (c)directrix is y-axis. (d)focus has coordinates (a, 0)

The locus of the midpoint of the segment joining the focus to a moving point on the parabola y^2=4a x is another parabola with directrix (a) y=0 (b) x=-a (c) x=0 (d) none of these

The locus of the mid-point of the line segment joining the focus to a moving point onn the parabola t^(2) =4ax is

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

What is the length of the focal distance from the point P(x_(1),y_(1)) on the parabola y^(2) =4ax ?

Find the focal distance of a point on the parabola y^(2)=20 x if the abscissa of the point be 7 .

Find the focal distance of a point on the parabola x^(2) = 8y if the ordinate of the point be 11 .

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

Prove that the focal distance of the point (x ,y) on the parabola x^2-8x+16 y=0 is |y-5|

The focal distance of a point on the parabola y^(2) = 8x is 4, find the coordinates of the point .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Which of the following lines can be normal to parabola y^(2)=12x ?

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  2. Which of the following line can be tangent to the parabola y^(2)=8x ?

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  3. The locus of the midpoint of the midpoint of the focal distance of a v...

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  4. A quadrilateral is inscribed in a parabola. Then

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  5. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

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  6. The parabola y^2=4x and the circle having its center at (6, 5) interse...

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  7. The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . ...

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  8. If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+la...

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  9. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  10. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

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  11. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

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  12. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

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  13. Two straight lines are perpendicular to each other. One of them touche...

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  14. If the tangents and normal at the extremities of focal chord of a para...

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  15. Radius of the circle that passes through the origin and touches the ...

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  16. If A1B1 and A2B2 are two focal chords of the parabola y^2=4a x , then ...

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  17. y=x+2 is any tangent to the parabola y^(2)=8x. The point P on this tan...

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  18. Two parabola have the same focus. If their directrices are the x-and t...

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  19. The triangle P Q R of area A is inscribed in the parabola y^2=4a x suc...

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  20. The length of the chord of the parabola y^(2)=x which is bisected at t...

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