Question

derive the formula to find the angle between two straight lines with slope M1 and M2 hence find the slope of the line which makes an angle pi by 4 with the line x - 2y + 5 is equal to zero

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

let angle between lines is. A and angle made by lines with positive x- axis is P and Q respectively.

then tanA = | tan(P - Q) | = | (tan P - tan Q ) / 1 + tan P . tan Q

=> tan A = | (M1 - M2)|/|( 1 + M1 M2)|

tan π/4 = | m - 1/2| / | 1 + m/2|

=> (2m - 1)/( m + 2 ) = 1 or -1

=> 2m - 1 = m + 2 or. 2m - 1 = - m - 2

=> m = 3 or m = - 1/3