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Q.

A telegraphic wire suspended between two poles of height 15mts is in the shape of a parabola. The distance between the poles is 20mts and maximum sag of the cable wire is 4mt, then the height of the cable at a distance of 5mt from one end is

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a

11

b

13

c

12

d

10

answer is A.

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Detailed Solution

Question Image

Equation of the Parabola is

$x^{2} = 4 a (y - 11)$

it passes through (10, 15)

$100 = 4 a (4) 4 a = 25 x^{2} = 25 (y - 11)$

sub $(5, h) \Rightarrow 25 = 25 (h - 11) \Rightarrow h = 12$

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A telegraphic wire suspended between two poles of height 15mts is in the shape of a parabola. The distance between the poles is 20mts and maximum sag of the cable wire is 4mt, then the height of the cable at a distance of 5mt from one end is