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Find the vertex of the parabola x^2=2(2x...

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

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...

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  2. Tangents are drawn to y^(2)=4ax at point where the line lx+my+n=0 meet...

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

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

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

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

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

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

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  9. The vertex of a parabola is (2,2) and the coordinates of extremities o...

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

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  11. Find the locus of midpoint of chord of the parabola y^(2)=4ax that pas...

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  12. In the parabola y^(2)=4ax, the tangent at P whose abscissa is equal to...

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

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  14. If the three normals from any point to the parabola y^(2)=4x cut the l...

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

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

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  17. A parabolic mirror is kept along y^(2)=4x and two light rays, parallel...

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  18. If incident from point (-1,2) parallel to the axis of the parabola y^2...

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  19. Find the equation of parabola having focus at (1,1) and vertex at (-3,...

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  20. Find the equation of the parabola with focus f(4,0) and directrix x=−4...

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