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The locus of the midpoint of the segment...

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

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. At what point on the parabola y^2=4x the normal makes equal angle with...

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  2. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2. Then t...

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  3. The locus of the midpoint of the segment joining the focus to a moving...

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  4. Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(...

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  5. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

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

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  7. Normal drawn to y^2=4a x at the points where it is intersected by the...

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  8. The radius of the circle touching the parabola y^2=x at (1, 1) and hav...

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  9. Maximum number of common normals of y^2=4ax and x^2=4by is

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  10. If two different tangents of y^2=4x are the normals to x^2=4b y , then

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  11. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

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  12. A ray of light travels along a line y=4 and strikes the surface of cur...

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  13. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  14. A line L passing through the focus of the parabola y^2=4(x-1) intersec...

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  15. The ratio in which the line segement joining the points (4,-6) and (3,...

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  16. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  17. A water jet from a fountain reaches its maximum height of 4 m at a dis...

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  18. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

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  19. A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...

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  20. The locus of the point (sqrt(3h),sqrt(3k+2)) if it lies on the line x-...

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