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Q.

A converging lens of focal length 200 cm is placed parallel to x-y plane such that the principal axis is along z-axis. The optical centre of the lens is at P(0, 0, 150 cm). Consider two points A(1cm, 2cm, 0) and B(2cm, 2cm, 0). The image of O, A and B is formed at O’ A’ and B’.

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a

 Area of ΔOAB Area of OAB=16

b

The length A' B '= 4 cm

c

Coordinates of B’ = (8cm, 8cm, -450 cm)

d

Coordinates of A’=(4cm, 8cm, 0)

answer is B, C, D.

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Detailed Solution

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m=ff+u=200200150=4xix0=y1y0=4v=600cm,zi=450cm
A'B'=4×AB=4 cm

Area of similar triangles is proportional to square of corresponding sides.

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