(a) If K(−3, − x) and L(3,−4) are such that KL is perpendicular to MN with M(− 5, −6) and N(−3,− 5), find the value of x.

Question

(b) The curve y = ax2 + bx + c passes through the points (0, 2) and (1, 3) and its gradient where x = 1 is 6. Find the value of a, of b and of c;