Question

A rod of length cm moves with it ends always touching the coordinate axes. Dertermine the equation of the locus of a point on the rod which is cm from the end in contact with the -axis

Medium

Solution

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Let be the rod making an angle with positive direction of -axis and be the point on it such that

Now,    

Draw and

In


In


Since 





Thus the equation of the locus of point on the rod is 

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