3 2 9-3 4. Mathemtics Assignment Grade 12 2024 QUESTION 1 In the diagram below, a circle with diameter PN is given. P (-2; 3), N(4; -7) and Q are points on the circumference of the circle centre T. RPS is the tangent to the circle at P. • The angles of inclination of PN and QN are ẞ and a, respectively. U and V are the x- intercepts of PN and QN, respectively. P(-2;3) S x a V 8 N(4; -7) Determine: 1.1 The coordinates of T, the centre of the circle. 1.2 The equation of the circle in the form: (x-a)²+(y-b)² = 2 1.3 The equation of the tangent PS. 1.4 Why is PQN=90°? 1.5 The size of 0 if the coordinates of Q are Q(4; 3) ​