51. If $$\frac{x}{y}{\text{ = }}\frac{{a + 2}}{{a - 2}}{\text{,}}$$ then the value of $$\frac{{{x^2} - {y^2}}}{{{x^2} + {y^2}}}$$ = ?
52. If x = y = z, then $$\frac{{{{\left( {x + y + z} \right)}^2}}}{{{x^2} + {y^2} + {z^2}}}$$ is?
53. If x(x + y + z) = 20, y = (x + y + z) = 30 & z(x + y + z) = 50, then the value of 2(x + y + z) is?
54. If a2 + b2 + c2 = 2(a - b - c) -3, then the value of a + b + c is?
55. If x + y = 4, x2 + y2 = 14 and x > y. Then the correct value of x and y is?
56. The simplified value of following is: $$\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right)$$ $$ ÷ $$ $$\frac{{10}}{{27}}{a^2}b{c^3}$$
57. If $$a = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}$$ and $$b = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }}{\text{,}}$$ then the value of $$\frac{{{a^2}}}{b}$$ + $$\frac{{{b^2}}}{a}$$ = ?
58. If $$\frac{a}{b} = \frac{{25}}{6}{\text{,}}$$ then the value of $$\frac{{{a^2} - {b^2}}}{{{a^2} + {b^2}}}$$ is?
59. If 2, 0 is a solution of the linear equation 2x + 3y = k, then the value of k is?
60. The graph of linear equation y = x passes throughout the point ?
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