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A bridge is in the shape of a semi ellip...

A bridge is in the shape of a semi ellipse . If it is 400 m long and has a maximum height of 10 m at midpoint . The height of the bridge distanced 80m from one end is

A

8 m

B

12m

C

20 m

D

10 m

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. The major axis of an ellipse is y =x and one vertex is at origin , the...

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  2. In a model. It is shown that an arch of abridge is semi-elliptical wit...

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  3. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

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  4. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

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  5. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

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  6. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

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  7. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

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  8. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

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  9. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

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  10. The locus of the foot of the perpendicular drawn from the centre of th...

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  11. The locus of the mid points of parallel chords of an ellipse is a strr...

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  12. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

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  13. A point moves such that the distance from the point (2,0) is always 1...

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  14. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

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  15. The nature of inter cepts made on the axes by the tangent at the point...

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  16. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

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  17. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

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  18. The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the rea...

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  19. If S and S' are the foci of the ellipse (x^(2))/( 25)+ ( y^(2))/( 16) ...

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  20. If a tangent of slope 2 of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^...

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