Find the coordinates of the point which divides the line ...
Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 9) internally in the ratio 2 : 3.
\((5\frac{2}{3}, \frac{2}{5})\)
\((\frac{2}{5}, 5\frac{2}{5})\)
\((\frac{2}{5}, 2\frac{2}{5})\)
\((\frac{-2}{5}, 5\frac{2}{5})\)
Correct answer is B
\((x = \frac{nx_{1} + mx_{2}}{n + m}, y = \frac{ny_{1} + my_{2}}{n + m})\)
Given P(-2, 3) and Q(4, 9),
\((\frac{2(4) + 3(-2)}{2 + 3}, \frac{2(9) + 3(3)}{2 + 3})\)
= \((\frac{2}{5}, \frac{27}{5})\)
= \((\frac{2}{5}, 5\frac{2}{5})\)
If \((x - 3)\) is a factor of \(2x^{3} + 3x^{2} - 17x - 30\), find the remaining factors....
Find the inverse of \(\begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix}\)...
If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 ...
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\)....
There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys ...