Bahawalpur Board 2009 maths Part 2 Group 2

1) ( e2x - 1 )/ 2ex equals a) Sin x b) Sinh x c) Cos x d) Cosh x 2) Limn→∞ (1 - 1/n)n equals: a) e b) e2 c) e-1 d) e-2 3) d/dx [x(x-3)] equals: a) 2x - 3 b) 3x - 2 c) 2x + 3 d) 3x - 2 4) (d/dx(Sin x))2 + (d/dx(Cos x))2 equals: a) -1 b) 1 c) 0 d) 2 5) If y=Cos(π/2 - x) , then y2 equals: a) -Sin x b) Sin x c) Cos2x d) -Cos x 6) ∫ cosec2x equals: a) Cot x + c b) -Cot x + c c) -2Cosec x + c d) 2Cosec x + c 7) ∫ esin x . Cos x equals: a) esin x + c b) ecos x + c c) -esin x + c d) - ecos x + c 8) ∫ Sec2 dx with limits 0 to π/4 equals: a) 0 b) -1 c) 1 d) 2 9) ∫ 1/√(1-x2) dx with limits 0 to 1 is equal to a) π/6 b) π/4 c) π/3 d) π/2 10) The solution of differential equation dy/dx = 1/1+x2 is: a) y = Sin-1x + c b) y = Sec-1x + c c) y = Tan-1x + c d) y = Cot-1x + c 11) The midpoint of the line through two points (-1,-4) and (-1.0) is : a) (-1,-2) b) (-2,-2) c) (-1,2) d) (-1,0) 12) The slope of the line parallel to 2x - 7y + 4 = 0 is: a) -7/2 b) 7/2 c) 2/7 d) -2/7 13) The angle between two lines represented by x2 - 2xy + y2 = 0 is: a) π/2 b) 0 c) π/4 d) π/3 14) The radius of the circle x2 + y2 = 5 equals: a) 5 b) 25 c) 5/2 d) √5 15) The length of the tangent from point (0,1) to circle x2 + y2 + 8 = 0 equals a) 3 b) 8 c) 4 d) √3 16) The focus of the parabola x2 = 4(y-1) equals : a) (0,0) b) (0,2) c) (0,-2) d) (2,0) 17) The center of the ellipse (x+1)2/9 + (y-1)2/5=1 is: a) (-1,1) b) (1,-1) c) (1,1) d) (-1,-1) 18) Transverse axis of y2/a2 - x2/b2 = 1 is : a) y=0 b) y=a c) x=0 d) x=b 19) If | xi - j + k | = √6 , then x equals: a) ±2 b) ±3 c) ±1 d) 0 20) The value of (i x j) . k is a) 0 b) -1 c) 1 d) 2