If matrix P = $\begin{bmatrix$}[r] -2 & 0 \ 4 & -3 \end{bmatrix}, then P² is :

1. $\begin{bmatrix$}[r] 4 & 0 \ -20 & 9 \end{bmatrix}

2. $\begin{bmatrix$}[r] 4 & 0 \ -20 & -9 \end{bmatrix}

3. $\begin{bmatrix$}[r] -4 & 0 \ -20 & 9 \end{bmatrix}

4. $\begin{bmatrix$}[r] 4 & 0 \ 20 & -9 \end{bmatrix}

If x ∈ W (whole numbers) and -4x > -2 - 3x, the solution set on the number line is :

Point P divides join of points A = (0, -5) and B = (10, -5) internally in the ratio 3 : 2 such that the point P is nearer to point A. The co-ordinates of point P are :

1. (4, 0)

2. (0, -5)

3. (-4, -5)

4. (4, -5)

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their diameters is :

1. $\sqrt{2} : 3$

2. 3 : 2

3. $\sqrt{3} : 2$

4. 3 : $\sqrt{2}$