Straight Line Question 157

Question: A straight line through the point A.(3, 4) is such that its intercept between the axes is bisected at A. its equation is

Options:

A) $ x+y=7 $

B) $ 3x-4y+7=0 $

C) $ 4x+3y=24 $

D) $ 3x+4y=25 $

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Answer:

Correct Answer: C

Solution:

  • [c] Since P is mid-Point of the line, intercept on axes are 6 and 8.
    $ \therefore $ Equation of line is $ \frac{x}{6}+\frac{y}{8}=1 $ Or $ 4x+3y=24 $