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A man is standing at a position X in fro...

A man is standing at a position X in front of a plane mirror, a distance of y metre from the mirror as shown in figure. When the man moves 5 m away from the mirror, the new distance between the man and his image becomes 20 metre. What is the value of y?

A

5 m

B

10 m

C

20 m

D

40 m

Text Solution

Verified by Experts

The correct Answer is:
A
New distance between the man and the mirror = y + 5
`therefore` The distance between the man and his image
`(y + 5) xx 2 = 20`
2y + 10 = 20
2y = 10
y = 5 m
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