Equation of line in Straight lines

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Question

Acute angle, in radians between the lines whose slope is $2$ and the line which is perpendicular to the line $2 x - y + 5 = 0$ is

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Solution

$The slope of the line 2 x - y + 5 = 0 is m = - \frac{a}{b} = 2, it is same as the slope of the first line.$
Hence the angle between the line whose slope is 2 and the line which is perpendicular to the line $2 x - y + 5 = 0 is \frac{π}{2} = 1.57$

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