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The roots of equation a (b – c)x² + b (c – a) x + c (a – b) = 0 are equal, then a, b, c are in

1) A.P. 2) G.P. 3) H.P. 4) None of these Solution: (3) H.P. a (b – c)x2 + b (c... View Article

1) 1, 25 2) -1, 25 3) 1, – 25 4) – 1, – 25 Solution: (1) 1, 25 ax2... View Article

1) -1 2) 1 3) -2 4) 2 Solution: (2) 1 x2 – x + 1 = 0 x3 +... View Article

1) 2560 / 243 2) 243 / 2560 3) – 2560 / 243 4) – 243 / 2560 Solution: (1)... View Article

1) x2 + 4x + 12 = 0 2) x2 – 4x – 12 = 0 3) x2 – 4x... View Article

1) 23281 2) 23218 3) 23128 4) 23182 Solution: (1) 23281 x2 + 13x + 8 = 0 ɑ +... View Article

1) {a – b, 0} 2) {a / b, 0} 3) {a + b, 0} 4) {ab, 0} Solution: 3)... View Article

1) {3 ± 2√2, (- 1 ± √3i) / 2} 2) {3 ± 2√2, (- 1 ± √3i)} 3) {-... View Article

1) {- 6, 1, [-5 ± √39i] / 2} 2){6, – 1, [-5 ± √39i] / 2} 3) {- 6,... View Article

1) 3, -5 2) -3, 5 3) 3, 5 4) -3, -5 Solution: (3) 3, 5 x2 – m (2x... View Article

1) A. P 2) G. P 3) H. P 4) None of these Solution: (1) A. P ax2 + bx... View Article

1) {- 11, -3} 2) {5, 7} 3) {5, – 7} 4) {- 5, – 7} Solution: (3) {5, –... View Article

1) 67 2) 76 3) -67 4) -76 Solution: (1) 67 √5x2 – 3 √3x – 2 √5 = 0... View Article

1) 5 2) 7 3) -7 4) 2 Solution: (2) 7 2x2 + 5x – k = 0 Δ =... View Article

1) {x2 / [(b / a) + (b1 / a1)]} + x + {1 / [(b / c) + (b1... View Article

1) ∑p / pqr 2) i / pqr 3) (p + q + r)2 4) None of these Solution: (1)... View Article

1) 0 2) 1 3) 2 4) 4 Solution: (3) 2 n-|x|m – |x|| = 1 has clearly 2 solutions.

1) 0 2) 1 3) 2 4) 3 Solution: (2) 1 |x – 1| = ex has only one solution... View Article

1) One root 2) No real root 3) An infinite number of roots 4) None of these Solution: (2) No... View Article

1) 0 2) 1 3) 2 4) ∞ Solution: (1) 0 px + p-x = logq q2 – 1 2... View Article