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Prove that the focal distance of the poi...

Prove that the focal distance of the point `(x ,y)` on the parabola `x^2-8x+16 y=0` is `|y+5|`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. y^2+2y-x+5=0 represents a parabola. Find its vertex, equation of axis,...

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  2. Find the equation of the parabola which has axis parallel to the y-axi...

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  3. Prove that the focal distance of the point (x ,y) on the parabola x^2-...

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  4. Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

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  5. If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...

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  6. From a variable point p on line 2x−y-1=0 pair of tangents are draw...

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  7. The locus of the middle points of the focal chords of the parabola, y^...

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  8. If the distance of the point (alpha,2) from its chord of contact w.r.t...

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  9. T P and T Q are tangents to the parabola y^2=4a x at P and Q , respect...

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  10. Find the locus of the midpoint of normal chord of parabola y^2=4ax

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  11. If normal to the parabola y^2-4a x=0 at alpha point intersects the par...

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  12. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

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  13. Find the angle made by a double ordinate of length 8a at the vertex of...

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  14. The cable of a uniformly loaded suspension bridge hangs in the form of...

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  15. If the chord of contact of tangents from a point P to the parabola y^2...

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

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

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

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

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

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