1. (a) Solve the equation 3x2 − x − 7 = 0 and give your answer correct to two decimal places. (Type in the answers separated by commas. Leave no spaces around the commas.)   Hint First letter clue   2. (b) In the figure, AB is a diameter and AC is a chord of a circle such that ∠BAC = 30°. The tangent at C intersects AB produced at D. Prove that BC = BD.     3. (c) P (3, 4), Q (7, −2) and R (−2, −1) are the vertices of triangle PQR. Write down the equation of the median of the triangle, through R.