Find The angle between x-axis and the line joining the points A(3,-1) and (4,-2).

Q. No. 10 of Exercise 10.1 of class 11th

Find The angle between x-axis and the line joining the points A(3,-1) and (4,-2).


Sol :

Slope of the line joining the points A(3,-1) and (4,-2).

                          m = -2-(-1)/4-3
                             = -2+1/1
                             = -1/1
                             = -1
Or              tanx  = -1                   [ Since m=tanx]
                   tanx  = tan135
Therefore       x  = 135


Hence     The angle between x-axis and the line joining the points A(3,-1) and (4,-2) is 135