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Find the length of the latus rectum of t...

Find the length of the latus rectum of the parabola whose focus is at (2, 3) and directrix is the line `x-4y+3=0` .

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the coordinates of any point on the parabola whose focus is (0, 1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...

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  19. The equation of the latus rectum of a parabola is x+y=8 and the equati...

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  20. Prove that the locus of the center of a circle, which intercepts a cho...

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