Question

A line drawn through origin intersects the lines 2x+y-2=0 and x-2y+2=0 in A and B .Show that locus of midpoints of AB is 2x^2-3xy-2y^2+x+3y=0

Answer 1

did u draw the line?

Answer 2

?

Answer 3

is the figure ellipse?

Answer 4

dont know

Answer 5

find the point of intersection of the given lines. I think its (4/5, 6/5)

then find the gradient of the line between (0, 0) and (4/5, 6/5)

m = 3/2

then use point slope to find the equation of the line

y =3/2x or 3x - 2y = 0