2
\(\frac{1}{2}\)
\(-\frac{1}{2}\)
-2
Correct answer is B
\((1 + kx)^{8} = ^{8}C_{0}(1^{8})(kx)^{0} + ^{8}C_{1}(1^{7})(kx)^{1} + ...\)
The 5th term = \(^{8}C_{5 - 1}(1^{4})(kx)^{4}\)
= \(^{8}C_{4} (kx)^{4}\)
\(\implies 70k^{4} = \frac{35}{8}\)
\(k^{4} = \frac{\frac{35}{8}}{70}\)
\(k^{4} = \frac{1}{16}\)
\(k = \frac{1}{2}\)
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0. ...
The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N. ...
Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\)...
Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5. ...
Express \(r = (12, 210°)\) in the form \(a i + b j\)....
Given that \(p = 4i + 3j\), find the unit vector in the direction of p....
Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation coeffic...
Find the coefficient of \(x^{3}\) in the expansion of \([\frac{1}{3}(2 + x)]^{6}\)...