Straight Line Question 104

Question: The distance between the lines $ 3x-2y=1 $ and $ 6x+9=4y $ is [MP PET 1998]

Options:

A) $ \frac{1}{\sqrt{52}} $

B) $ \frac{11}{\sqrt{52}} $

C) $ \frac{4}{\sqrt{13}} $

D) $ \frac{6}{\sqrt{13}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \therefore $ Distance between two lines = $ \frac{|ax_0 + by_0 + c|}{\sqrt{a^2 + b^2}} $

$ \Rightarrow $ $ d=\frac{11}{2\sqrt{13}}=\frac{11}{\sqrt{52}} $ .



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