Consider a rigid square ABCD as in the figure with A and B on the x and y axis respectively. When A and B slide along their respective axes, the locus of C forms a part of

Step-by-step solution

C ( h , k ) h = a = h a ......(1) k = a + a k = h + a k - h a = ......(2) array l ² + ² =1 h ² a ² + ( k - h )² a ² =1 ~h ²+( k - h )²= a ² array locus x²+(y-x)²=a² solving we get x ²+ y ²+ x ²-2 xy = a ²2 x ²+ y ²-2 xy = a ² check h ²- ab < 0 ellipse