An object is placed at a distance of 12cm from a convex lens. A convex mirror of focal length 15cm is placed on other side of lens at 8cm as shown in the figure. Image of object coincides with the object.

When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be
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(50)

For the object to coincide with image, the light must fall perpendicularly to mirror. Which means that the light will have to converge at C of mirror. Without the mirror also, the light would coverage at C.
So the distance is: 12+8+30=50cm
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