Question

The locus of mid Points of the chords of the parabola
y2=4ax, which pass through a fixed point
(h,k) is

given by​

Answer 1

Step-by-step explanation:

Let (h,k) be the mid point of the chord.

Then equation of chord is given by ky−2a(x+h)=k

2

−4ah

(−a,0) will satisfies the equation.

−2a(−a+h)=k

2

−4ah

⇒y

2

=2a(x+a) is the required locus.