Straight Line Question 340
Question: The number of lines that are parallel to $ 2x+6y+7=0 $ and have an intercept of length 10 between the coordinate axes is
Options:
A)1
B)2
C)4
D)Infinitely many
Correct Answer: B $ \Rightarrow \sqrt{\frac{k^{2}}{4}+\frac{k^{2}}{36}}=10\Rightarrow \sqrt{\frac{10k^{2}}{36}}=10 $
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Answer:
Solution:
Þ $ 10k^{2}=3600\Rightarrow k=\pm 6\sqrt{10} $ . Hence there are two lines given by $ 2x+6y\pm 6\sqrt{10}=0 $ .
BETA
