Find the distance of the line 3x - 2y +1 = 0 from the point (5, 3) measured in a - Maths - Straight Lines

Question

Find the distance of the line 3x - 2y +1 = 0 from the point (5, 3)
measured in a direction making an angle 45° with the given line

Rahul Raj · Accepted Answer

dear student

slope of line making angle 45 degree with the line be mthentan45=1=m-321+m32m=-5equation of line through (5,3) isy-3=-5(x-5)5x+y=28intersection with 3x-2y+1 =0is the point (55/13,89/13)distance from (5,3) is 10213

regards

Find the distance of the line 3x - 2y +1 = 0 from the point (5, 3) measured in a direction making an angle 45° with the given line.