Question

From the point A(0, 3) on the circle $x^2+4x+(y–3{)}^2=0$ a chord AB is drawn and extended to a point M such that AM = 2 AB. The equation of the locus of M is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Let m(x, y) be a point , B in the mid point of AM $B=(\frac{x}{2},\frac{y+3}{2})$lies on the circle.Therefore the locus is $x^2+8x+(y–3{)}^2=0$