71. The value of $$\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}$$ $$\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + $$ $$\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}$$ is = ?
72. If $$\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1$$ and $$\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0$$ where a, b, c, p, q, r are non-zero real numbers, then $$\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}$$ is equal to = ?
73. If $$x = \sqrt 3 {\text{ + }}\sqrt 2 {\text{,}}$$ then the value of $${x^3} - \frac{1}{{{x^3}}}$$ is?
74. The value (1001)3 is = ?
75. The Value of ($$\sqrt {6} $$ + $$\sqrt {10} $$ - $$\sqrt {21} $$ - $$\sqrt {35} $$) × ($$\sqrt {6} $$ - $$\sqrt {10} $$ + $$\sqrt {21}$$ - $$\sqrt {35} $$) = ?
76. The expression $$\frac{1}{{x - 1}} - $$ $$\frac{1}{{x + 1}} - $$ $$\frac{2}{{{x^2} + 1}} - $$ $$\frac{4}{{{x^4} + 1}}$$ is equal to = ?
77. $$\left( {x + \frac{1}{x}} \right)$$ $$\left( {x - \frac{1}{x}} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$$ is equal to ?
78. If $$\left( {x + \frac{1}{x}} \right){\text{ = 2,}}$$ then $$\left( {x - \frac{1}{x}} \right)$$ is equal to = ?
79. If 12 + 22 + 32 + . . . . . + p2 = $$\left[ {\frac{{{\text{p}}\left( {{\text{p}} + 1} \right)\left( {2{\text{p}} + 1} \right)}}{6}} \right]{\text{,}}$$ then 12 + 32 + 52 + . . . . . + 172 is = ?
80. The simplest value of $$\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)$$ is = ?
Read More Section(Simplification)
Each Section contains maximum 100 MCQs question on Simplification. To get more questions visit other sections.