Question

Two rods of lengths a and b slide along the x-axis and y-axis respectively in such a manner that their ends and concyclic. The locus of the centre of the circle passing through the end points is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$2\sqrt{g^2-c}=a\Rightarrow g^2-c=\frac{a^2}{4}and2\sqrt{f^2-c}=b\Rightarrow f^2-C=\frac{b^2}{4}$