Saturday, May 11

Bahawalpur Board 2009 maths Part 2 Group 2

1) ( e^2x - 1 )/ 2e^x equals
a) Sin x
b) Sinh x
c) Cos x
d) Cosh x

2) Lim_n→∞ (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) ∫ e^{sin x} . Cos x equals:
a) e^{sin x} + c
b) e^{cos x} + c
c) -e^{sin x} + c
d) - e^{cos 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

Entry Test Preparation