If the lines x – my + 3 = 0 and 2x + 3y – 7 = 0 are perpendicular to each other, then the value of m is:

1. $–\dfrac{2}{3}$

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

3. $–\dfrac{3}{2}$

4. $\dfrac{3}{2}$

The equation of the straight line passing through the point (1, 2) and parallel to the line y = 3x + 1, is:

1. x – 3y + 1 = 0

2. 3x + y + 1 = 0

3. 3x – y – 1 = 0

4. 3x – y + 1 = 0

If two lines are perpendicular to one another, then the relation between their slopes m₁ and m₂ is:

1. m₁ = m₂

2. $m$1 = \dfrac{1}{m2}

3. m₁ = –m₂

4. m₁ × m₂ = -1

Assertion (A): The slope of the line passing through the points (3, –2) and (–7, –2) is 0.

Reason (R): The gradient (slope) of a line passing through the points (x₁, y₁) and (x₂, y₂) is $\dfrac{x$2 - x1}{y2 - y1}.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false