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Consider a circle with its centre lying ...

Consider a circle with its centre lying on the focus of the parabola, `y^2=2px` such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is:

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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