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The radius of the circle touching the parabola `y^2=x` at (1, 1) and having the directrix of `y^2=x` as its normal is `(a)(5sqrt(5))/8` (b) `(10sqrt(5))/3` `(c)(5sqrt(5))/4` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider a circle with its centre lying on the focus of the parabola, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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