131. If $$x + \frac{1}{x} = 99{\text{,}}$$ find the value of $$\frac{{100x}}{{2{x^2} + 2 + 102x}}$$ is?
132. If $$\frac{{4x - 3}}{x}$$ + $$\frac{{4y - 3}}{y}$$ + $$\frac{{4z - 3}}{z} = 0{\text{,}}$$ then the value of $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$$ is?
133. If $$\frac{{xy}}{{x + y}} = a,$$ $$\frac{{xz}}{{x + z}} = b$$ and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$ where a, b, c are all non - zero numbers, then x equals to?
134. If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is?
135. If a2 - 4a - 1 = 0 then value of $${a^2} + \frac{1}{{{a^2}}} + 3a - \frac{3}{a}$$ is?
136. The minimum value of (x - 2)(x - 9) is?
137. If $$\sqrt x = \sqrt 3 - \sqrt 5 {\text{,}}$$ then the value of x2 - 16x + 6 is?
138. If x2 = y + z, y2 = z + x, z2 = x + y, then the value of $$\frac{1}{{x + 1}}$$ + $$\frac{1}{{y + 1}}$$ + $$\frac{1}{{z + 1}} = \,?$$
139. If a + b + c = 0, then the value of $$\left( {\frac{{a + b}}{c} + \frac{{b + c}}{a} + \frac{{c + a}}{b}} \right)$$ $$\left( {\frac{a}{{b + c}} + \frac{b}{{c + a}} + \frac{c}{{a + b}}} \right) = \,?$$
140. If a, b, c are non - zero $$a + \frac{1}{b} = 1$$ and $$b + \frac{1}{c} = 1,$$ then the value of abc is?
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