The angle between the lines x+y-3=0 and x-y+3=0 is and the acute angle between the lines x- 3 y+2 3 =0 and 3 x-y+1=0 is . Which one of the following is correct?

NDA 2017 Mathematics question

The angle between the lines and is and the acute angle between the lines and is . Which one of the following is correct?

Answer: (B)

The first pair has slopes and (product ), so . The second pair has slopes and

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Question ID VK-028735