p127 q8
Find the equation of the locus of the mid-point of a vairable chord thro' the point (a , 2a ) of the parabola
thanks
edit: my working: let p be a point on , P = .
let A = (a, 2a)
equ of PA:
have no idea how to do
p127 q8
Find the equation of the locus of the mid-point of a vairable chord thro' the point (a , 2a ) of the parabola
thanks
edit: my working: let p be a point on , P = .
let A = (a, 2a)
equ of PA:
have no idea how to do
Hello,
Hmmm you're both near to it and not
Let P like you did, and A(a, 2a).
The equation of the line is y=mx+n, but actually, you don't need it (if I read correctly).
The midpoint has its coordinates equal to half the sum of the other coordinates. Let M be the midpoint.
Am I right ??
I've drawn the locus of the midpoints of all chords with A as one endpoint.
If the parabola has the equation
The focus has the coordinates F(a, 0) and the point A(a, 2a) is placed on the parabola. (In my example I've used a = 3)
and are midpoints of the chords.
The locus is a parabola too.