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Friday, May 10

Bahawalpur Board 2009 maths Part 2












1) If |AB x AC| = 9 , then the area of triangle ABC equals:
a) 18
b) 9
c) 9/2
d) 27


2) A unit vector in direction of [3 , -4] is:
a) [1/5 , 2/5]
b) [-3/5 , 4/5]
c) [-1/5 , 4/5]
d) [3/5 , -4/5]


3) Vertices of hyperbola x2/16 - y2/4=1 are:
a) (±2,0)
b) (0,±2)
c) (±4,0)
d) (0,±4)


4) For an ellipse eccentricity is
a) one
b) less than one
c) greater than one
d) zero


5) Focus of parabola y2 = 8x is:
a) (0,-2)
b) (8,0)
c) (2,0)
d) (-8,0)


6) The length of tangent drawn from (1,2) to the circle x2 + y2 + 2x + 4y - 14 = 0 is:
a) 1
b) √6
c) 4
d) 12


7) The center of the circle x2 + y2 + 12x -10y = 0
a) (6,5)
b) (-6,5)
c) (-6,-5)
d) (6,-5)


8) if f(tx , ty) = tnf(x,y) then f(x,y) is a homogeneous function of degree:
a) n-1
b) t
c) n
d) n + 2


9) Slope of line parallel to x axis is
a) π/3
b) 1
c) 0
d) undefined


10) Distance of the point (1,2) from y axis is
a) -2
b) 1
c) -1
d) 2


11) Order of differential equation y dy/dx + 2x = 0 is
a) 3
b) 2
c) 1
d) 4


12) ∫ sec2x dx with limits 0 to π/4 is equal to:
a) 0
b) 1/2
c) 1/4
d) 1


13) ∫ 1/x dx with limits 0 to 1 is equal to:
a) 0
b) 1
c) ∞
d) -1


14) ∫ 1/xlnx dx equals:
a) ln(lnx) + c
b) lnx + c
c) -lnx + c
d) -ln(lnx) + c


15) ∫ tanx dx equals:
a) ln|Cosx| + c
b) -ln|Cosx| + c
c) -ln|Secx| + c
d) ln|Sinx| + c


16) f(x) decreases if:
a) f'(x) = 0
b) f'(x) > 0
c) f'(x) ≥ 0
d) f'(x) < 0


17) d/dx ( Sin 1/x) is equal to
a) 1/x Cos 1/x
b) -1/x2Cos 1/x
c) 1/x2Cos 1/x
d) -1/x Cos 1/x


18) dy/dx for 3x + 4y + 7 = 0 is
a) 1/4
b) 4/3
c) -4/3
d) -3/4


19) Limx→0 (ex - 1)/x equals:
a) 0
b) 1
c) -2
d) 2


20) If f(x)=e2lnx, then f(0) is
a) 0
b) 2
c) ∞
d) 1


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