For the following questions answer them individually
$$\begin{bmatrix}-1 & 2 \\1 & -1 \end{bmatrix} \begin{bmatrix}x \\y \end{bmatrix} = \begin{bmatrix}4 \\5 \end{bmatrix} \Rightarrow 3x - 4y =$$
In a $$\triangle ABC , \angle B = 55^\circ, \angle C = 45^\circ$$ and bisector of $$\angle A$$ meets BC at a point D. Then $$\angle CAD =$$
A circle touches all the four sides of a quadrilateral ABCD as shown below. If AB = 3 cm. BC = 4 cm and CD = 5 cm then AD =
If three vertices of a rectangle are (4, 1), (7, 4) and (13, -2) then the fourth vertex is