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 …….(i)

Equation of the line which is perpendicular to the line (i)

Ž x – 3y + l = 0 …… (2)

Q line (2) is passing through the point P (2, 2) Ž 2 – 3(2) + l = 0 Ž l = 4

By (2) Ž x – 3y + 4 = 0 Ž Put x = 0 Ž y = $\frac{4}{3}$