\(\frac{-1}{33}\)(6 + √3)
\(\frac{-1}{33}\)(6 - √3)
\(\frac{1}{33}\)(6 + √3)
\(\frac{1}{33}\)(6 - √3)
Correct answer is C
( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)
= \(\frac{2 + √3 + 2(2 - √3)}{(2 - √3)(2 + √3)}\)
= 2 + √3 + 4 - 2√3
= (6 - √3)\(^{-1}\)
= \(\frac{1}{6 - √3}\)
= \(\frac{6 + √3}{6 - √3 * 6 + √3}\)
= \(\frac{6 + √3}{33}\)
In how many ways can the letters of the word 'ELECTIVE' be arranged? ...
In how many ways can four Mathematicians be selected from six ? ...
If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p....
Given that \(f : x \to x^{2}\) and \(g : x \to x + 3\), where \(x \in R\), find \(f o g(2)\)....
Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{p...
If \(f(x) = \frac{1}{2 - x}, x \neq 2\), find \(f^{-1}(-\frac{1}{2})\)....
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)...
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting. Wha...
Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set...