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Examples OF curved mirror-1

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Combination OF curved mirror

In case of a curved mirror if the distance of object "(u)" and image "(v)" are measured from the pole and a graph is plotted between "(1/u) and "(1/v)" ,the graph is

If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be :

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Examples on lens and combination OF lens and mirror

Consider a curved mirror y=f(x) passing through (8,6) having the property that all light rays emerging from origin,after getting reflected from the mirror becomes parallel to x-axis.Find the equation of curve.