Straight Line Question 17

Question: The angle between the lines $ a_1x+b_1y+c_1=0 $ and $ a_2x+b_2y+c_2=0, $ is[MP PET 1994]

Options:

A) $ {{\tan }^{-1}}\frac{a_1b_2+a_2b_1}{a_1a_2-b_1b_2} $

B) $ {{\cot }^{-1}}\frac{a_1a_2+b_1b_2}{a_1b_2-a_2b_1} $

C) $ {{\cot }^{-1}}\frac{a_1b_1-a_2b_2}{a_1a_2+b_1b_2} $

D) $ {{\tan }^{-1}}\frac{a_1b_1-a_2b_2}{a_1a_2+b_1b_2} $

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Answer:

Correct Answer: B

Solution:

  • It is a fundamental concept.