Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 12/ P2 35 ExemplarQUESTION 22.1A(2;0)MB(4;-6)Refer to the diagram above and determine:2.1.1 The equation of a circle, centre M, which touches the x- axis at A(2;0)and passes through B(4;-6).(7)2.1.2 The equation of the tangent to the circle at B. . (4)2.2Given the equation of the circle x² + y² −12x − 6y + 20 = 0 andthe line 2x + y −5 = 02.2.1 Show that the line and the circle cut each other at A(1;3) and B(3;-1). (6)2.2.2 Determine the length of AB (leave your answer in simplified surdform). (3)2.2.3 Determine the equation of the perpendicular bisector of AB.(5)2.2.4 Hence or otherwise, determine the centre of the circle.(6)[31]Copyright reserved