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Q.

An ellipse is described by using an endless string which is passed over two pins. If the axes are 6 cm and 4 cm the necessary length of the string and the distance between the pins respectively in cms is

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a

4, 2 $\sqrt{5}$

b

6, $\sqrt{5}$

c

$6 + 2 \sqrt{5}, 2 \sqrt{5}$

d

4, $\sqrt{5}$

answer is A.

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Detailed Solution

2a=6, 2b=4, e = $\frac{\sqrt{5}}{3}$ length of string SP + S¹P = 2a = 6 distance between the pins = SS¹ = 2ae = 2 $\sqrt{5}$

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