1) ∆ ≠ 0 2) b/∆ = 0 3) c∆ = 0 4) bc ≠ 0 Solution: (3) c∆ = 0 Since α + β = b / a, αβ = c / a Given that α + β, α2 + β2 and α3 + β3 are in... View Article
1) - (15 / 4) 2) 15/4 3) 9/4 4) 4 Solution: (1) - (15 / 4) It is given that α, β and γ are the roots of the equation 2x3 - 3x2 + 6x + 1 = 0... View Article
1) 3 2) 0 3) 1 4) 2 Solution: (1) 3 tan 300 and tan 150 are the roots of the equation x2 + px + q = 0. x2 + px + q = 0 tan 300 + tan 150 = -... View Article
1) a + 2b 2) a + b + c 3) ab + bc + ca 4) abc Solution: (2) a + b + c Since ɑ and β are the roots of the equation ax2 + bx + c = 0, so, ɑ +... View Article