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The cable of a uniformly loaded suspensi...

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100m long is supported by vertical wires attached to the cable, the longest wire being 30m and the shortest being 6m. Find the length of the supporting wire attached to the roadway 18m from the middle.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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