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
1) {1, 3} 2) {0, 2} 3) {–1,3} 4) {–3, –2} Solution: Given A (1, k), B(1, 1) and C (2, 1) are the vertices of a right angled triangle. BC =... View Article
1) x – y – 2 = 0 2) x – y + 12 = 0 3) x + y – 12 = 0 4) None of these Solution: Let the midpoint of sides BC, CA and AB are D(1, 3), E(5, 7)... View Article
1) x + 2y = 0 2) 2x + y = 0 3) x – 2y = 0 4) 2x – y = 0 Solution: Given A(-1, 5), B(0, 0) and C(2, 2) are the points. D is the midpoint of... View Article