Question
Download Solution PDFWhat is the acute angle between the pair of straight lines 2x + y = 1 and 3x - y = 2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Angle between two lines is given by,
Equatin of straight line: y = mx + c, where m =slope
Calculation:
Here, the pair of straight lines are 2x + y = 1 and 3x - y = 2
2x + y = 1 ⇒y = -2x + 1 so, m1 = -2
And, 3x - y = 2 ⇒y = 3x - 2 so, m2 = 3
So, angle between given pair of straight lines =
Hence, option (1) is correct.
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