SSC CGL 202261)If \(m + {{1} \over (m \ - \ 2)}= 4\) then find the value of \({(m \ - \ 2)^2}\) + \({{1} \over (m \ - \ 2)^2} \) .
2
SSC CGL 202262)If \(5x - {{5} \over x} + 6 = 0\), then \( {x^2}+{{1} \over {x^2}}\) is:
\({{86} \over 25}\)
SSC CGL 202263)If a = 26 and b = 22, then the value of \({{a^3 - b^3} \over a^2 - b^2}-{{3ab} \over a \ + \ b}\) is ______.
\({{1} \over 3}\)
SSC CGL 202264)If \({a} + \frac{1}{{{a}}}=5\) , then what is the value of \({a^3} + \frac{1}{{{a^3}}}\)?
110
SSC CGL 202265)What is the value of a2 + b2 + c2 - 2ab - 2bc + 2ca ?
(a – b + c)2
SSC CGL 202266)If \(\frac{x}{8} + \frac{8}{x} = 1\) , then the value of x3 is :
-512
SSC CGL 202267)If p = 8.15, q = 9.06 and r = -17.21, then the value of p3 + q3 + r3 - 3pqr is:
0
SSC CGL 202268)If \(x^4 + \frac{16}{x^4} \)= 15617, x > 0, then find the value of \(x + \frac{2}{x} \) .
\(\sqrt{129}\)
SSC CGL 202269)If x = 222, y = 223 and z = 224, then find the value of x3 + y3 + z3 - 3xyz.
2007
SSC CGL 202270)If α, β are the roots of \(6x^2 + 13x + 7 = 0\), then the equation whose roots are \(α^2, β^2\) is:
\(36x^2\) - \(85x\) + 49 = 0