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A cable of a suspension bridge is in the...

A cable of a suspension bridge is in the form of a parabola whose span is 40m. The road way is 5m below the lowest point of the cable. If an extra support is provided across the cable 30m above the ground level. Find the length of the support if the height of the pillars are 55 mts.

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The correct Answer is:
`20sqrt(2)`
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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. A cable of a suspension bridge is in the form of a parabola whose span...

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  2. The point of intersection of the tangent at 't(1)' and 't(2)' to the ...

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  3. The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

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  4. The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x...

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  5. The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

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  6. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

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  7. If the length of the latus rectum is half the length of the conjucate ...

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  8. The locus of the point of intersection of perpendicular tangents to th...

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  9. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

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  10. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

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  11. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

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  12. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

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  13. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  14. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

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  15. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

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  16. The eccentricity of the ellipse for which the distance between the dir...

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  17. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  18. In are ellispe , the distance between its foci is 6 and its minor axi...

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  19. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

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  20. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

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  21. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

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