Straight Line Question 390

Question: Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is [Karnataka CET 2004]

Options:

A) $ 4x-y-4=0 $

B) $ 2x+y-8=0 $

C) $ x+y-6=0 $

D) $ x+2y-10=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the equation of line $ \frac{x}{a}+\frac{y}{b}=1 $ Given $ a=b $ . So, equation of line is $ x+y=a $ …..(i)Line passes through (2, 4)From equation (i), $ 2+4=a $ . So, $ a=6 $ . $ \therefore $ Equation of line $ x+y=6 $ i.e., $ x+y-6=0 $ .