Bahawalpur Board Math 2010-Part 2

1) The volume of parallelepiped is equal to: a) ( u x v ) . w b) ( u x v ) x w c) u x ( v x w ) d) u x ( v x v ) 2) Two non- zero vectors u and v are parallel if a) u . v = 1 b) |u . v| = 1 c) u . v = 0 d) u . v ≠ 0 3) Which one is focus of parabola y2= 4ax a) (a,0) b) (-a,0) c) (0,0) d) (0,-a) 4) x2 + y2 + 2gx + 2fy = 0 represents : a)circle b) ellipse c) hyperbola d) parabola 5) eccentricity of ellipse x2 / a2 + y2 / b2 = 1 , a > b is a) a / c >1 b) ac < 1 c) c / a < 1 d) a / c2 > 1 6) the variables used in system of linear equalities are also known as a) constants b) constraints c) solutions d) corners 7) second degree homogenous equation is equal to a) ax2 + bx + c = 0 b) ax3 + bx2 + cx +d=0 c) ax+by+c=0 d) ax2 + 2hxy + by2 = 0 8) if line is parallel to x-axis then "α" is equal to a) 0o b) 90o c) 120o d) 150o 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) d3y/dx3 + 2d2y/dx2 + d/dx + y = 0 is the differential equation of the order a) 2 b) 3 c) 4 d) 5 11) ∫ e^x [ cosx + sinx ]dx is equal to: a) ex cosx + c b) ex sinx + c c) ex tanx + c d) ex cotx + c 12) ∫ sec2x / tanx dx is : a) ln tanx b) ln cotx + c c) cotx + c d) tanx + c 13) ∫ x^n dx where n ≠-1 is equal to: a) xn-1 / n-1 + c b) xn+1 / n+1 + c c) xn /n + c d) xn+2 / n+2 + c 14) the function f(x) = ax2 + bx + c = 0 has the minimum value if a) a > 0 b) a < 0 c) a > 1 d) a > 2 15) 1 – 1/2 +1/3 -1/4 + …… is the expansion of a) ln2 b) ln3 c) ln4 d) ln5 16) d/dx cos-1x is equal to a) 1 / √(1-x2) b) -1 / √(1-x2) c) 1 / √(x2-1) d) -1 / √(x2-1) 17) d/dx ( x + 1/x) is equal to a) 1 + 1/x b) 1 – 1/x2 c) x – 1/x2 d) x + 1/x2 18) ∫ cosx dx with limits 0 to π is : a) -2 b) -1 c) 0 d) 2 19) Area, surface area, volume etc deal with a) integral calculus b) differential calculus c) complex numbers d) infinite numbers 20) sinhx is equal to: a) [ ex + e-x ] / 2 b) [ ex – e-x ] / 2 c) [ ex - e-x ] / [ex + e-x] d) [ ex + e-x ] / [ex - e-x]