Q9 of 85 Page 227

Find angles between the lines x + y = 1 and x + y = 1.

Given lines are x + y = 1 and x + y = 1.

Slope of line (1) is m₁ = -√3, while the slope of line (2) is m₂ = -1/√3

Let θ be the angle between two lines

∴ θ = 30°

Thus the angle between the given lines is either 30° or 180° - 30° = 150°

Find equation of the line parallel to the line 3x − 4y + 2 = 0 and passing through the point (–2, 3).

Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3.

The line through the points (h, 3) and (4, 1) intersects the line 7x − 9y −19 = 0. at right angle. Find the value of h.

Prove that the line through the point (x₁, y₁) and parallel to the line Ax + By + C = 0 is A (x – x₁) + B (y – y₁) = 0.