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If the distribution of weight is uniform...

If the distribution of weight is uniform, then the rope of the suspended bridge takes the form of parabola.The height of the supporting towers is 20m, the distance between these towers is 150m and the height of the lowest point of the rope from the road is 3m. Find the equation of the parabolic shape of the rope considering the floor of the parabolic shape of the rope considering the floor of the bridge as X-axis and the axis of the parabola as Y-axis. Find the height of that tower which supports the rope and is at a distance of 30 m from the centre of the road.

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The correct Answer is:
5.72m
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the distribution of weight is uniform, then the rope of the suspend...

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  2. Let A and B be two finite sets such that n(A) =85, n(B) = 65and n(A ∪ ...

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  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

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  4. The axis of a parabola is along the line y=x and the distance of its v...

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  5. In a school, all pupils play either Hockey or Football or both. 400 pl...

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  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  14. If a parabola has the origin as its focus and the line x = 2 as the ...

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  15. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  18. Of the 125 students in an elementary school, 89 students play checkers...

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  19. What is the 5th term of this sequence 9, 13, 17, ...?

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  20. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  21. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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