For the following questions answer them individually
The numerically greatest term in the expansion of $$(1 - 3x)^{10}$$ when $$x = \frac{1}{2}$$ is
$$3A = \begin{bmatrix}1 & 2 & 2 \\2 & 1 & -2\\x & 2 & y \end{bmatrix}$$ and $$AA^T = A^TA = I$$, then $$x + y =$$
A is a $$2 \times 2$$ matrix, such that $$A \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}-1\\2\end{bmatrix}$$ and $$A^2 \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}1\\0\end{bmatrix}$$. Then the sum of the elements of A is
In the following figure, if $$AE = EC = CD$$ and $$\angle EDC = \angle EAC = 30^\circ$$, then $$\angle AED =$$
In the circle given below with centre 'O', if $$AC = BC$$ and $$\angle AOB = 140^\circ$$ then $$\angle PBC =$$
If the point A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the ve1tices of a parallelogram taken in order then the value of p is