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Saturday, May 11

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

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