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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 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find t

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Let `y ^2 =4ax` be the equation of parabola where `(a,b),(50,30),(18,y)` are points on it.
Putting `(50,30)` in the equation of parabola `y ^2 =4ax`, we get, `30 ^2 ...
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RD SHARMA-PARABOLA-Solved Examples And Exercises
  1. The equation of the parabola with vertex at the origin passing through...

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  2. Find the equation of a parabola with vertex at the origin and the d...

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

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  4. Write the axis of symmetry of the parabola y^2=xdot

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  5. Write the distance between the vertex and focus of the parabola y^2+6y...

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  6. The directrix of the parabola x^2-4x-8y + 12=0 is

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  7. Write the equation of the parabola with focus (0,0) and directrix x+y-...

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  8. Write the length of the chord of the parabola y^2=4a x which passes th...

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  9. If b\ a n d\ c are lengths of the segments of any focal chord of the p...

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  10. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

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  11. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

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  12. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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  13. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  14. The coordinates of the focus of the parabola y^2-x-2y+2=0 are a. (5/4...

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  15. The vertex of the parabola (y+a)^2=8a(x-a) is a.(-a ,-a) b. (a ,-a) c....

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  16. If the focus of a parabola is (-2,1) and the directrix has the equatio...

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  17. The equation of the parabola whose vertex is (a ,0) and the directrix ...

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  18. The parametric equations of a parabola are x=t^2+1, y=2t+1. The Cartes...

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  19. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

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  20. The equation of the directrix of the parabola whose vertex and focus a...

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