Mathematics Tes...

Nature of the triangle formed by the points representing the complex numbers \(3+4 {i}, 8-6 {i}\) and \(13+9 {i}\) is:

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in committee. In how many ways can it be done?

If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is \(1, 3, 5, 7\) is:

If \(\mathrm{iz}^{3}+\mathrm{z}^{2}-\mathrm{z}+\mathrm{i}=0\), then the value of \(|\mathrm{z}|\) is:

If \(\left[\begin{array}{ccc}1 & -4 & 3 \\ 0 & 6 & -7 \\ 2 & 4 & \lambda\end{array}\right]\) is not an invertible matrix, then what is the value of \(\lambda\)?

Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?

Middle term in the expansion \(\left(\mathrm{x}-\frac{1}{\mathrm{x}}\right)^{11}\) is:

The price of item A increases by 50 paise every year while the price of item B increases by 25 paise every year. If in 2008, the price of item A was Rs. 3.20 and that of B was Rs. 5.30, in which year item A will cost 40 paise more than the item B?

If \(y=e^{x+e^{x+e^{x+\cdots \infty}}}\), then \(\frac{d y}{d x}\) is:

Equation of the hyperbola whose foci are (5,0) and (-3,0), eccentricity = 2, is: