Question 1 In the diagram, A(-2; 2), B(6; 5), C(0; -3) and D(x, y) are the vertices of a quadrilateral having AD || BC. BA produced has an x-intercept at E. BD and AC intersect at M. N(t; 0) is a point on AD. E A(-2; 2) N(1; 0) M O C(0; -3) Ď(x; y) 1.1 Calculate the gradient of BC. 1.2 Determine the equation of AD. 1.3 Determine the value of t. 1.4 1.5 B(6; 5) Calculate the length of AN. 3 If DC is defined by y = -x - 3, determine the coordinates of D. 8 1.6 Prove that ABCD is a parallelogram. 1.7 Calculate the coordinate of M.
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