1) an ellipse 2) a hyperbola 3) a circle 4) none of these Solution: (4) none of these [x2 / (1 - r)] - [y2 / (1 + r)] = 1 ----- as r > 1... View Article
1) 12/5 2) 16 3) 24/7 4) 24/5 5) 12/7 Solution: (4) 24 / 5 The focus of the given hyperbola (ae, 0) lies on 2x + 3y - 6 = 0 as it is the... View Article
1) 8/5 2) 5/8 3) 10 4) 12 5) None of these Solution: (3) 10 The focus is S and M is any point on the directrix, By definition, PS = e PM 6... View Article
1) x = cos θ - 1, y = 2 sin θ - 1 2) x = 2cos θ - 1, y = sin θ + 1 3) x = cos θ - 1, y = 2 sin θ + 1 4) x = cos θ + 1, y = 2 sin θ + 1 5) x =... View Article
1) Real and distinct 2) Complex 3) Real and equal 4) None Solution: (1) Real and distinct (a - b) x2 + 5 (a + b) x - 2 (a - b) = 0 = 25 (a +... View Article
1) A.P. 2) G.P. 3) H.P 4) None of these Solution: (1) A.P. ax2 + 2bx + c = 0 and b2 = ac x = [- 2b ± √4b2 - 4ac] / 2a = - b / a Now x = - b... View Article