Question

The angle between the line joining the points (1, –2), (3, 2) and the line x + 2y – 7 = 0, is

• A. p
• B. $\frac{\pi}{2}$
• C. $\frac{\pi}{3}$
• D. $\frac{\pi}{6}$

Answer 1

Answer: (B)

$\frac{\pi}{2}$

Answer 2

x + 2y – 7 = 0 .... (1)

slope of line (1) = m₁ = – $\frac{1}{2}$

M₂ = slope of line PQ = $\frac{2 - ( - 2)}{3 - 1}$ = 2

When P(1, – 2) & Q (3, 2)

Q m₁, m₂ = – 1

angle b/w line (1) & line PQ = $\frac{\pi}{2}$