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Question

A square of side "a" lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle α where 0<α<90with the positive direction of x - axis. The equation of its diagonal not passing through the origin is


A

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B

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C

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D

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Solution

The correct option is A


Required digonal passes through (-a sin α , a cos α) and (-a cos α , a sin α)

Required digonal equation is y(cos α , sin α) + x( cos α - sin α) = a


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