WBJEE 2019 Math Solved Paper

(A)
Let foot of origin on variable line is P
⇒ (0, 0) and (α, β) subtends right angle at P.
⇒ Locus of P is circle assuming (0, 0) & (α, β) as diameter.
⇒ Required locus is (x – 0)(x – α) + (y – 0)(y – β) = 0
⇒ Required locus is x2+y2 – αx – βy = 0