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The locus of the midpoint of the focal d...

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)

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

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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 focal distance of a variable point ...

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  4. A quadrilateral is inscribed in a parabola. Then (a)the quadrilateral ...

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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) inters...

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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. Statement 1: If the endpoints of two normal chords A Ba n dC D (normal...

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

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

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

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  15. If the tangents and normals at the extremities of a focal chord of a ...

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

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  17. If A(1)B(1)andA(2)B(2) are two focal chords of the parabola y^(2)=4ax,...

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  18. The tangent and normal at P(t), for all real positive t, to the parabo...

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

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  20. Two parabola have the same focus. If their directrices are the x-axis ...

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