The acute angle between the lines x 30^ + y 30^ = 3 and x 60^ + y 60^ = 5 is

MHT CET 2024 Mathematics question

The acute angle between the lines and is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Each line is in normal form , whose normal makes angle with the x-axis, and the line itself has slope . For the two lines and , the angle between the lines equals the angle between their normals, i.e. .

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Question ID VK-093301