For the following questions answer them individually
If the coefficients of the second, third and fourth terms in the binomial expression of $$(1 + x)^{n}$$ are in arithmetical progression, then a value of n =
If $$A =\begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{bmatrix}, B =\begin{bmatrix} x \\ y \\ z \end{bmatrix} $$ and $$ AB =\begin{bmatrix} 6 \\ 3 \\ 1 \end{bmatrix}$$, then $$x + y + z = $$
IF a be a 2$$\times$$2 matrix such that $$A\begin{bmatrix} 7 & 8 \\ 5 & 6 \end{bmatrix} = \begin{bmatrix} 3 & -4 \\ 2 & -3 \end{bmatrix}$$, then trace of A =
$$\lim_{n \rightarrow \infty}\left\{\frac{1}{5.9} + \frac{1}{9.13} + \frac{1}{13.17} + \cdot\cdot\cdot + \frac{1}{(4n+1)(4n+5)}\right\}=$$
Two triangles have equal area. If their bases are in the ratio 3 : 4, then the ratio of altitudes drawn to their bases, in the same order is
If the lengths of the diagonals of a Rhombus are 9cm and 12cm, hen its perimeter (in centimeters) is
The maximum number of common tangents that can be drawn to two circles which touch each other, is