Let f: R → R such that f(x + 2y) = f(x) + f(2y) + 4xy, ∀ x, y ϵ R and f(0) = 0.
If I1=∫10f(dx),I2=∫0−1f(x)dx,and I3=∫1−1f(x)dx,then
Find the equation of the line passing through the point of intersection of 2x−7y+11=0 and x+3y−8=0 and is parallel to (i) x-axis (ii) y-axis.
I.x2+x−20=0 II.y2−y−30=0