Straight Line Question 60

Question: If the co-ordinates of the middle point of the portion of a line intercepted between coordinate axes (3,2), then the equation of the line will be[RPET 1985; MP PET 1984]

Options:

A) $ 2x+3y=12 $

B) $ 3x+2y=12 $

C) $ 4x-3y=6 $

D) $ 5x-2y=10 $

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Answer:

Correct Answer: A

Solution:

  • Obviously the coordinates of the points A and B are (6, 0) and (0, 4) respectively.Therefore the equation of line AB is $ \frac{x}{6}+\frac{y}{4}=1 $

$ \Rightarrow 2x+3y=12 $ .