Straight Line Question 295
Question: A line passes through the point (3, 4) and cuts off intercepts from the coordinates axes such that their sum is 14. The equation of the line is
Options:
A) $ 4x-3y=24 $
B) $ 4x+3y=24 $
C) $ 3x-4y=24 $
D) $ 3x+4y=24 $
Correct Answer: B $ \therefore $ $ \frac{3}{14-b}+\frac{4}{b}=1\Rightarrow b=8 $ or 7 Therefore equations are $ 4x+3y=24 $ and $ x+y=7 $ . Trick: This question can be checked with the options as the line $ 4x+3y=24 $ passes through (3, 4) and also cuts the intercepts from the axes whose sum is 14.
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Answer:
Solution:
BETA
