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A line L passing through the focus of th...

A line `L` passing through the focus of the parabola `y^2=4(x-1)` intersects the parabola at two distinct points. If `m` is the slope of the line `L , then`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A ray of light travels along a line y=4 and strikes the surface of cur...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  15. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  16. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  17. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

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  18. If the normals to the parabola y^2=4a x at three points (a p^2,2a p), ...

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  19. Normals A O ,A A1a n dA A2 are drawn to the parabola y^2=8x from the p...

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  20. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

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