Question -
Answer -
It is given that (x, y)is the point of contact of the curve and its tangent.
The slope (m1) of the line segmentjoining (x, y) and (–4, –3) is 
Weknow that the slope of the tangent to the curve is given by the relation,
Accordingto the given information:
Integratingboth sides, we get:
Thisis the general equation of the curve.
Itis given that it passes through point (–2, 1).
SubstitutingC = 1 in equation (1), we get:
y + 3 = (x + 4)2
Thisis the required equation of the curve.