If the line x - 4y - 6 = 0 is the perpendicular bisector of the line segment PQ and the coordinates of P are (1, 3), find the coordinates of Q.

OABC is a square, O is the origin and the points A and B are (3, 0) and (p, q). If OABC lies in the first quadrant, find the values of p and q. Also write down the equations of AB and BC.

The slope of a line which makes an angle of 30° with the positive direction of x-axis is

1. 1

2. $\dfrac{1}{\sqrt{3}}$

3. $\sqrt{3}$

4. $-\dfrac{1}{\sqrt{3}}$

The slope of the line passing through the points (0, -4) and (-6, 2) is

1. 0

2. 1

3. -1

4. 6