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The sum of the 3rd and the 4th terms of a G.P. is 60 and the product of its first three terms is 1000. If the first term...The lines p(p2 + 1) x - y + q = 0 and (p2 + 1)2 x + (p2 + 1)y + 2q = 0 are perpendicular to a common line for...If C is centre and A and B are two points on conic 4x2 - 9y2 - 8x - 36y + 4 = 0 such that ∠ ACB = , then CA-2 + CB...In a parallelogram ABC, = a, = b and = c, then . has the value :...If Z = (where i = ), then (Z101 + i103)105 is equal to :...