Straight Line Question 341

Question: A line passes through (2, 2) and is perpendicular to the line $ 3x+y=3. $ Its y?intercept is [IIT Screening 1992]

Options:

A) $ 1/3 $

B) $ 2/3 $

C)1

D) $ 4/3 $

Show Answer

Answer:

Correct Answer: D

Solution:

  • The equation of a line passing through (2, 2) and perpendicular to $ 3x+y=3 $ is $ y-2=\frac{1}{3}(x-2) $ or $ x-3y+4=0 $ . Putting $ x=0 $ in this equation, we obtain $ y=4/3 $ . So, y-intercept $ =4/3 $ .