It can be shown that the parametric equations x = x1 + (x2 – x1)t, y = y1 +(y2 – yı)t, where 0

Find the set of points satisfying the equation in the complex variable z: |z|^2 +ℝ(z^2) = 4 where ℝ means “real part” and sketch the resulting curve(s).

The parametric equations z = 3 – t, y = 2t + 4, 0

Let L be a line which is parallel to the line L1 : 2x = 3y = 6z and intersects two lines L2 : x = z – 4 = 0_and L3 : y = z + 4 = 0. (a) Find the parametric equations of the line L. (b) Let L4 be a line with symmetric equations Y – 8 x + 12 = 2 -z. Find the equation of the plane containing the lines L and L4.