Find the distance between the parallel lines
Please give correct answer
Answers
Answer:
We know that slopes of two parallel lines are equal. Therefore, two parallel lines can be taken in the form
y = mx + c1 … (1)
and y = mx + c2 … (2)
Line (1) will intersect x-axis at the point A (–c1/m, 0) as shown in figure.
Distance between Parallel Lines
Distance between two lines is equal to the length of the perpendicular from point A to line (2). Therefore, distance between the lines (1) and (2) is
|(–m)(–c1/m) + (–c2)|/√(1 + m2) or d = |c1–c2|/√(1+m2).
Thus the distance d between two parallel liens y = mx + c1 and y = mx
Answer:
Answer:
We know that slopes of two parallel lines are equal. Therefore, two parallel lines can be taken in the form
y = mx + c1 … (1)
and y = mx + c2 … (2)
Line (1) will intersect x-axis at the point A (–c1/m, 0) as shown in figure.
Distance between Parallel Lines
Distance between two lines is equal to the length of the perpendicular from point A to line (2). Therefore, distance between the lines (1) and (2) is
|(–m)(–c1/m) + (–c2)|/√(1 + m2) or d = |c1–c2|/√(1+m2).
Thus the distance d between two parallel liens y = mx + c1 and y = mx