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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

x2=4a(y-11)

it passes through (10, 15)

100=4a(4)   4a=25 x2=25(y-11)

sub (5, h) ⇒ 25=25(h-11) ⇒ h=12

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