Given that the expansion of (a+x)(1-2x)^n in ascending powers of x is 3-41x+bx^2+.....Find the values of the constants a, n and b.
Given that the coefficient of x^2 in the expansion of (k+x)[2-(x/2)]^6 is 84, find the value of the constant k.
Solutions to this question by accurate drawing will not be accepted. A parallelogram ABCD in which A(8,2) and B(2,6). The equation of BC is y=(1/2)x+5 and X is the point on BC such that AX is perpendicular to BC. Equation of AX is y=-2x+18. Coordinate of X is (5.2,7.6). Given also that BC = 5 BX, find the coordinates of C and D.