81. If $$a\left( {2 + \sqrt 3 } \right)$$ = $$b\left( {2 - \sqrt 3 } \right)$$ = 1, then the value of $$\frac{1}{{{a^2} + 1}}$$ + $$\frac{1}{{{b^2} + 1}}$$ = ?
82. If $$\left( {2 + \sqrt 3 } \right)a$$ = $$\left( {2 - \sqrt 3 } \right)b$$ = 1 then the value of $$\frac{1}{a}$$ + $$\frac{1}{b}$$ is?
83. If $$a + \frac{1}{b}$$ = $$b + \frac{1}{c}$$ = $$c + \frac{1}{a}$$ $$\left( {a \ne b \ne c} \right)$$ then the value of abc is?
84. If $$\frac{x}{y} = \frac{4}{5}{\text{,}}$$ then the value of $$\left( {\frac{4}{7} + \frac{{2y - x}}{{2y + x}}} \right)$$ is?
85. If a + b = 12, ab = 22, then (a2 + b2) is equal to?
86. If $$x$$ = $$\sqrt 3 - \frac{1}{{\sqrt 3 }}$$ and $$y$$ = $$\sqrt 3 + \frac{1}{{\sqrt 3 }}$$ then the value of $$\frac{{{x^2}}}{y} + \frac{{{y^2}}}{x}$$ is?
87. If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$ + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$ + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$ + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$ is?
88. If $${a^{\frac{1}{3}}} + {b^{\frac{1}{3}}} + {c^{\frac{1}{3}}} = 0,$$ then a relation among a, b, c is?
89. If $$x - \frac{1}{x} = 1{\text{,}}$$ then the value of $$\frac{{{x^4} - \frac{1}{{{x^2}}}}}{{3{x^2} + 5x - 3}}$$ = ?
90. If x + y = 15, then the value of (x - 10)3 + (y - 5)3 is?
Read More Section(Algebra)
Each Section contains maximum 100 MCQs question on Algebra. To get more questions visit other sections.