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If a normal to a parabola y^2 =4ax makes...

If a normal to a parabola `y^2 =4ax` makes an angle `phi` with its axis, then it will cut the curve again at an angle

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Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the chord of contact of tangents from a point P to the parabola y^2...

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  2. Tangents are drawn from any point on the line x+4a=0 to the parabola y...

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  3. If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...

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  4. Tangents are drawn to the parabola y^2=4a x at the point where the lin...

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  5. Find the vertex of the parabola x^2=2(2x+y).

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  6. Find the length of the common chord of the parabola y^2=4(x+3) and th...

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  7. Find the coordinates of any point on the parabola whose focus is (0, 1...

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  8. If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...

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  9. Find the length of the latus rectum of the parabola whose focus is at ...

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  10. The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...

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  11. The vertex of a parabola is (2, 2) and the coordinats of its two ex...

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  12. Find the equation of the directrix of the parabola x^2-4x-3y+10=0.

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  13. Find the locus of the midpoint of chords of the parabola y^2=4a x that...

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  14. In the parabola y^2=4a x , then tangent at P whose abscissa is equal t...

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  15. If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...

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  16. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

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  17. If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} =...

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  18. A ray of light moving parallel to the X-axis gets reflected from a par...

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  19. A circle and a parabola y^2=4a x intersect at four points. Show that t...

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  20. A parabola mirror is kept along y^2=4x and two light rays parallel to ...

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