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Normal drawn to y^2=4a x at the points ...

Normal drawn to `y^2=4a x` at the points where it is intersected by the line `y=m x+c` intersect at `P` . The foot of the another normal drawn to the parabola from the point `P` is (a)`(a/(m^2),-(2a)/m)` (b) `((9a)/m ,-(6a)/m)` (c)`(a m^2,-2a m)` (d) `((4a)/(m^2),-(4a)/m)`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If the segment intercepted by the parabola y^2=4a x with the line l x+...

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  18. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the (a)...

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  19. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, (a) C1 and C...

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  20. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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