1) K = ± 4 2) K = ± 1 3) K = ± 3 4) K = 0 Solution: (1) K = ± 4 Given x2 - kx - 21 = 0and x2 - 3kx + 35 = 0 have a common root. Let ɑ, bc be... View Article
1) 2 2) 1 3) 4 4) 3 Solution: (1) 2 Let ɑ and 4β be the root of x2 - 6x + a = 0 and ɑ and 3β be the those of the equation x2 - cx + 6 = 0. ɑ... View Article
1) a = -1, b =1 2) a = 1, b = - 1 3) a = 5, b = 9 4) a = 9, b = 5 Solution: (3) a = 5, b = 9 Consider y = [x2 + 34x - 71] / [x2 + 2x - 7] x2... View Article
1) AP 2) HP 3) GP 4) None of these Solution: (1) AP Since a, b, c are in GP, b2 = ac ax2 + 2bx + c = 0 ax2 + 2 √ac x + c = 0 (√ax + √c)2 = 0... View Article
1) greater than 4ab 2) less than 4ab 3) greater than - 4ab 4) less than - 4ab Solution: (3) greater than - 4ab The roots of bx2 + cx + a = 0... View Article
1) 3 2) 4 3) 2 4) 1 Solution: (1) 3 Let 3 and α be the roots of the equation x2 + ax + 3 = 0 Sum of roots = 3 + α = - a .. (i) Product of... View Article