71. a + b + c = 0, then the value of $$\frac{{{a^2} + {b^2} + {c^2}}}{{ab + bc + ca}}$$ is?
72. If a + b + c = m and $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}{\text{,}}$$ then average of a2, b2, c2 is?
73. If $$\left( {\sqrt a + \sqrt b } \right)$$ = 15 and $$\left( {\sqrt a - \sqrt b } \right)$$ = 3, then the value of $$\frac{{\sqrt {ab} }}{4}$$ is?
74. If $$a + \frac{1}{a} = 3,$$ then the value of $${a^3} + \frac{1}{{{a^3}}}$$ is?
75. If $$x = \sqrt {a\root 3 \of {ab\sqrt {a\root 3 \of {ab} } } } .... \propto $$ then the value of x is?
76. If $$\frac{{m - 3{a^3}}}{{{b^3} + {c^3}}}$$ $$+$$ $$\frac{{m - 3{b^3}}}{{{c^3} + {a^3}}}$$ $$+$$ $$\frac{{m - 3{c^3}}}{{{a^3} + {b^3}}}$$ = 9, then the value of m is?
77. If a2 = b + c, b2 = a + c, c2 = b + a, then what will be the value of $$\frac{1}{{a + 1}}$$ + $$\frac{1}{{b + 1}}$$ + $$\frac{1}{{c + 1}}$$ ?
78. If $$a + b = 2c,$$ find $$\frac{a}{{a - c}}$$ + $$\frac{c}{{b - c}}$$ = ?
79. If $$\frac{a}{b} = \frac{1}{2},$$ find the value of the expression $$\frac{{\left( {2a - 5b} \right)}}{{\left( {5a + 3b} \right)}}$$ = ?
80. If for a non - zero x, 3x2 + 5x + 3 = 0, then the value of $${x^3} + \frac{1}{{{x^3}}}$$ is?
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