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The cable of a unformely loaded suspensi...

The cable of a unformely loaded suspension bridge hangs in the form of a parabola. The roadway which, is horizontal and 72 mt. long is supported by vertical wires attached to the cable, the longest being 30 mts. and the shortest being 6 mts. Find the length of the supporting wire attached to the road-way 18 mts.from the middle.

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The correct Answer is:
`rArr l-6 = ( 18^2)/( 4a) = (18 xx18)/( 54) = 6 rArr l=12`.
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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Find the real values of a for which the point (-2a, a+ 1) lies in the ...

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  2. Two parabolas y^(2) = 4a(x- lambda(1) ) and x^(2) = 4a(y- lambda2) alw...

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

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  4. The line 2x-y +2 =0 touches the parabola y^(2) = 4px. Find P and also ...

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  5. Find the equation of the tangent to the parabola y^(2) = 8x and which ...

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  6. Find the equation of normal to the parabola y^(2) = 4x and whose slope...

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  7. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

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  8. Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a...

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  9. alpha and beta are the angles made by two tangents to the parabola y^(...

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  10. The normals from (P,0) are drawn to the parabola y^(2) = 8x, one of th...

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  11. Show that the locus of point of intersection of perpendicular tangents...

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  12. Show that the equation of the common tangent to the circle x^(2) + y^(...

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  13. The locus of the foot of the perpendicular from the focus to the tange...

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  14. Show that straight line 7x+6y=13 is a tangent to the parabola y^(2)-7x...

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  15. Find the condition for the line y=mx+c to be a tangent to the parabola...

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  16. If a chord of the parabola y^(2) = 4ax touches the parabola y^(2) = 4b...

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  17. Prove that two parabolas y(2)=4ax "and" x^(2)=4by intersect (other tha...

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  18. Show that the focal chord of the parabola y^(2)=4ax, which makes an an...

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  19. Show that semi latus rectum of the parabola y^(2) =4ax is the harmonic...

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  20. Prove that the locus of point of intersection of two perpendicular nor...

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