Question

Find the distance of the point (2, 3) from the line
2 x - 3x + 9 = 0 measured along a line making an
angle of 45​

Answer 1

Answer:

Step-by-step explanation:

eqn of line through (2,3) making 45 degrees from x-axis (i.e.with slope m = than 45 =1) is

y-3 = 1. (x-2) OR y = x+1 --(i)

solving above eqn and eqn 2x-3y +9 = 0, we get x = 6, y = 7 (i.e. intersection point is (6,7)

now distance = distance betweeeen (2,3) and (6,7) which is equal to sqrt(6-2)2+ (7-3)2 = sqrt (32 = 4v2

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