Divide by 2:
Then the coordinates of P verify the equation
The locus is a parallelogram formed by the lines:
The locus is a parabola.
I was unable to solve the following questions, please help me.
1) A is a point on the X-axis and B is a point on the Y-axis such that:
4(OA) + 7(OB) = 20, where O is the origin. Find the equation of the locus of the midpoint P of Segment AB.
2) Find the equation of the locus of the midpoint P of Segment AQ, if:
A= (-1,2) and Q is a point on the locus