For the following questions answer them individually
If the expansion of $$(x - 3x^2)^{25}$$ is a polynomial of $$n^{th}$$ degree in x, then n =
If $$A = \begin{bmatrix}1 & -1 \\2 & -1 \end{bmatrix}, B = \begin{bmatrix}x & 1 \\y & -1 \end{bmatrix}$$ and $$(A + B)^2 = A^2 + B^2$$, then (x, y) =
If $$\begin{bmatrix}2 & -1 \\1 & 1 \end{bmatrix}\begin{bmatrix}x \\y \end{bmatrix} = \begin{bmatrix}4 \\5 \end{bmatrix}$$, then $$x^2 + y^2 =$$
$$\lim_{x \rightarrow 0}\frac{\sqrt{1 + x^3} - \sqrt{1 - x^2}}{x^2} =$$
$$\frac{d}{dx}\left(\tan^{-1}\left(\frac{1 + \tan x}{1 - \tan x}\right)\right) =$$
The ratio of the sides of a triangle whose angles are in the ratio $$1 : 2 : 3$$ is
The perimeter (in cms) of a Rhombus whose diagonals are 9 cm and 12 cm is
A tangent is drawn to a circle from a point 13 cm away from its centre. If the length of that tangent is 12 cm, then the radius (in cms) of the circle is
The area (in sq. units) of the triangle formed by the points (0, 0), (2, -3) and (4, 5) is
The ratio in which the X-axis divides the line segment joining the points (2, 3) and (3, -5) is