Straight Line Question 391
Question: The equation of the straight line passing through the point (4, 3) and making intercepts on the co-ordinate axes whose sum is ? 1 is [AIEEE 2004]
Options:
A) $ \frac{x}{2}-\frac{y}{3}=1 $ and $ \frac{x}{-2}+\frac{y}{1}=1 $
B) $ \frac{x}{2}-\frac{y}{3}=-1 $ and $ \frac{x}{-2}+\frac{y}{1}=-1 $
C) $ \frac{x}{2}-\frac{y}{3}=1 $ and $ \frac{x}{2}+\frac{y}{1}=1 $
D) $ \frac{\pi }{3} $ and $ \frac{x}{-2}+\frac{y}{1}=-1 $
Correct Answer: A $ \Rightarrow $ $ 4+4a-3a=a+a^{2} $ $ \therefore $ Required lines are $ \frac{x}{2}-\frac{y}{3}=1 $ and $ \frac{x}{-2}+\frac{y}{1}=1 $ .Show Answer
Answer:
Solution:
Þ $ a^{2}=4\Rightarrow a=\pm 2 $