Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 12/ P2 33 ExemplarGrade 12 Mathematics: Question Paper 2MARKS: 150 marksTIME: 3 hoursQUESTION 11.1A(0;1) ; B(-2;-3); C(8;2); D(d;6) are the vertices of the parallelogram ABCD.1.1.1 Calculate the gradient of BC (2)1.1.2 Hence, determine the equation of AD and use it to calculate the value ofd. (4)1.1.3 Calculate the equation of the altitude AE of Δ ABC with E on BC. (2)1.1.4 Determine the coordinates of F, the point of intersection of thediagonals. (2)1.2 In the diagram below triangle A'B'C' is the image of triangle ABC after a rotationof θ° about the origin.C'yBAB'A'θCx1.2.1 If the coordinates of A and A' are (4;7) and (-8;1) respectively, showthat θ = 112,62° (6)1.2.2 Hence, or otherwise, determine the coordinates of B' if B is the point(8;14). (4)1.3Solve the following equations for: 0° ≤ x ≤ 90°1.3.1 2tanx = −0,6842 (2)1.3.2 sin2x.cos x − sinx.cos2x = 0,500 (2)Copyright reserved