41. The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is?
42. If x = 5, then the value of the expression $${x^2} - 2 + \frac{1}{{{x^2}}}$$ is?
43. If x = 2, y = 1 and z = -3, then x3 + y3 + z3 - 3xyz is equal to?
44. The sum of $$\frac{1}{{x + y}}$$ and $$\frac{1}{{x - y}}$$ is?
45. If x + y = 2a, then the value of $$\frac{a}{{x - a}}$$ $$ + $$ $$\frac{a}{{y - a}}$$ is?
46. If x + y + z = 6 and xy + yz + zx = 10, then the value of x3 + y3 + z3 - 3xyz is?
47. If $$\frac{{x + 1}}{{x - 1}} = \frac{a}{b}$$ and $$\frac{{1 - y}}{{1 + y}} = \frac{b}{a}{\text{,}}$$ then the value of $$\frac{{x - y}}{{1 + xy}}$$ is?
48. If a2 + b2 + c2 - ab - bc - ca = 0 then a : b : c is?
49. If $$x - \frac{1}{x} = 2{\text{,}}$$ then the value of the following is $${x^3} - \frac{1}{{{x^3}}}$$ = ?
50. If x = a(b - c), y = b(c - a), z = c(a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$ + $${\left( {\frac{y}{b}} \right)^3}$$ + $${\left( {\frac{z}{c}} \right)^3}$$ is?
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