11.1 Complete: Opposite angles of a cyclic quadrilateral … (1) 11.2 In the figure, ABCD is a cyclic quadrilateral. AB ║ DC in circle with centre O. BC and AD produced meet at M. D3 = 𝑥 11.2.1 Show that MC = MD. (5) 11.2.2 If D3 = 𝑥, determine the value of M̂ , … Read more
O is the centre of the bigger circle. O lies on the circumference of the smaller circle. OWVU are points on the circumference of the smaller circle. TSVU are points on the circumference of the bigger circle. 10.1 Name FOUR other angles each equal to 𝑥 with reasons. (8) 10.2 Determine the size of Ŵ2 … Read more
A, B, C and D are points on the circumference of the circle in the diagram below. ECF is atangent at C, B1 = B2 . 10.1 If B1 = 𝑥, find, with reasons, TWO other angles equal to 𝑥. (4) 10.2 Hence, show that DC bisects AĈF. (2) [6]
9.1 In the diagram O is the centre of the circle and ABC are points on the circle. Use the diagram in your SPECIAL ANSWER BOOK to prove that:AÔB = 2AĈB. (6) 9.2 In the figure below, DĈO = 25° and O is the centre of the circle. A, B, E C and D are … Read more
GIVE REASONS FOR YOUR STATEMENTS AND CALCULATIONS IN QUESTIONS 8, 9, 10 AND 11. 8.1 Complete: The line drawn from the centre of the circle perpendicular to the chord … (1) 8.2 In the figure below, AB and CD are chords of the circle with centre O. OE ┴ AB. CF = FD. OE = … Read more
In the diagram ∆LNR is drawn with points L and R on the circumference of a circle. NR cuts the circle at M. K is a point on LR with KN the bisector of LN̂R. KN cuts the chord LM at O. LK = LO. LÔK = 65° and KN̂M = 25°. 9.1 Prove that … Read more
7.1 Draw the graph of f and g for x ∈ [-90° ; 180°] in the SPECIAL ANSWER BOOK. Show all the turning points and intercepts with the axes. Clearly show the asymptotes using dotted lines. (6) 7.2 Determine the values of x, for ∈ [-90° ; 180°], for which f(x) > g(x). (6) 7.3 … Read more
6.1 COMPLETE: In ∆ABC b2 = … + … – … 6.2 In the diagram below, PQ is a straight line 1 500 m long. RS is a vertical tower158 m high with P, Q and S points in the same horizontal plane. The angles ofelevation of R from P and Q are 25° and … Read more
Give reasons for ALL statements in QUESTIONS 8, 9 and 10. In the diagram below O is the centre of the circle. Quadrilateral ABCO is drawn with A and C on the circumference. AB is a tangent to the circle at point A and BC is a tangent to circle at point C. D is … Read more
The picture below shows a storage tank in which a farmer stores his grain. The tank is madeup of a right cylinder with a hemisphere on top. The perpendicular height of the tank to thetop is 7 500 cm and the radius of the tank is 10 m. 7.1 Calculate the total surface area of … Read more