Question

y intercept of line passes through (2, 2) and is perpendicular to the line 3x + y = 3, is

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. 1
• D. $\frac{4}{3}$

Answer 1

Answer: (D)

$\frac{4}{3}$

Answer 2

3x + y = 3 ....... (1)

Eq of line ^ to line (1) is

x – 3y + l = 0 …… (2)

Q Line (2) is passing through the point

P (2, 2), then Ž $\left[ \begin{array} { l } 2 - 3 ( 2 ) + \lambda = 0 \\ \lambda = 4 \end{array} \right.$

Put in (2) Ž [x – 3y + 4 = 0] Ž $\left\{ \begin{matrix} x = 0 \\ y = 4/3 \end{matrix} \right.\$