Further Mathematics Past QuestionsQuestion 96:Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle. A. \(x^{2} + y^{2} - 5x + 3 = 0\) B. \(x^{2} + y^{2} - 2x - 6y - 13 = 0\) C. \(x^{2} + y^{2} - x + 5y - 6 = 0\) D. \(x^{2} + y^{2} - x - y - 8 = 0\) Question 97:The lines \(2y + 3x - 16 = 0\) and \(7y - 2x - 6 = 0\) intersect at point P. Find the coordinates of P. A. (4, 2) B. (4, -2) C. (-4, 2) D. (-4, -2) Question 98:Find the fourth term in the expansion of \((3x - y)^{6}\). A. \(-540x^{3}y^{3}\) B. \(-540x^{4}y^{2}\) C. \(-27x^{3}y^{3}\) D. \(540x^{4}y^{2}\) Question 99:The 3rd and 6th terms of a geometric progression (G.P.) are \(\frac{8}{3}\) and \(\frac{64}{81}\) respectively, find the common ratio. A. \(\frac{1}{3}\) B. \(\frac{2}{3}\) C. \(\frac{3}{4}\) D. \(\frac{4}{3}\) Question 100:Given that \(-6, -2\frac{1}{2}, ..., 71\) is a linear sequence , calculate the number of terms in the sequence. A. 20 B. 21 C. 22 D. 23 |
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