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At what point on the parabola y^2=4x the...

At what point on the parabola `y^2=4x` the normal makes equal angle with the axes?

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

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  2. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

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  3. At what point on the parabola y^2=4x the normal makes equal angle with...

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  4. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2. Then t...

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  5. The locus of the midpoint of the segment joining the focus to a moving...

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  6. Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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