Q2 Prep 3 Algebra Question Bank

a) The number of solutions of the equation: \( X = 1 \) in \(\mathbb{R} \times \mathbb{R}\) is ...... (New Valley 23)

(a) 0

(b) 1

(c) 2

(d) infinite

The correct answer is (d) infinite. The equation \( X = 1 \) in \(\mathbb{R} \times \mathbb{R}\) represents a vertical line passing through x=1, which contains infinitely many points.

MR/Nasef.N

b) The point of intersection of the two straight lines: \( X + 3 = 0 \) and \( y = 5 \) is ...... (EI-Kalyoubia 23)

(a) (3, 5)

(b) (-3, 5)

(c) (-3, -5)

(d) (3, -5)

The correct answer is (b) (-3, 5). The line \( X + 3 = 0 \) is x = -3, and the line \( y = 5 \) is a horizontal line. Their intersection point is (-3, 5).