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Statement 1: The line y=x+2a touches the...

Statement 1: The line `y=x+2a` touches the parabola `y^2=4a(x+a)` Statement 2: The line `y=m x+a m+a/m` touches `y^2=4a(x+a)` for all real values of `mdot`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the midpoint of the segment joining the focus to a moving...

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  2. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. A water jet from a function reaches it maximum height of 4 m at a d...

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

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

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

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

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  20. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the fir...

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