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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 =
$$\lim_{n \rightarrow \infty}\left\{\frac{1}{5.9} + \frac{1}{9.13} + \frac{1}{13.17} + \cdot\cdot\cdot + \frac{1}{(4n+1)(4n+5)}\right\}=$$
The value of $$\frac{d}{dx}(x^{x})$$ at $$x = \frac{1}{e}$$, is
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
If the distance between the point (3, 0) and a point P is 5, then P cannot be
Which one of the following points is nearest to the origin?
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