Suppose there are two parallel lines l 1 and l 2 in XY-plane with equal slope = m. In other words, if the slopes of both the lines are the same, they will be parallel to each other. Two lines are parallel to each other if the distance between them at any point remains the same. It is interesting to find out the distance between two parallel lines.
Or, Distance, AB = |C/AB| (A 2 + B 2) ½ … (III) The area of the triangle is given byĪrea (Δ NAB) = ½ base × height = ½ AB × NM ,Īlso, area (Δ NAB) = ½ |x 1(y 2 − y 3) + x 2(y 3 − y 1) + x 3(y 1 − y 2)| The coordinates of the points are A (0, −C/B) and B (−C/A, 0). The line meets the y and the x axes at points A and B respectively. The x and y-intercepts are −C/A and −C/B respectively. The distance of point from a line, ‘d’ is the length of the perpendicular drawn from N to l. This line is represented by Ax + By + C = 0. Suppose a line l in XY−plane and N(x 1, y 1) is any point at a distance d from the line l.
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How to do it? Let’s find out.īefore we start, learn the formula of distance here. Have you ever thought of measuring the distance of the point from a line? How can we do this? The point is not lying on the line. Perpendicular Distance of Point from a Line
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You can download Straight Lines Cheat Sheet by clicking on the download button below Let us study the way to find the distance of point from a line. Īlso, we know the area of a triangle formed by three points is given by ½ |x 1(y 2 − y 3) + x 2(y 3 − y 1) + x 3(y 1 − y 2)|. The length or the distance between the two is ((x 2 − x 1) 2 + (y 2 − y 1) 2) 1/2. Suppose the coordinates of two points are A(x 1, y 1) and B(x 2, y 2) lying on the same line. In coordinate geometry, we learned to find the distance between two points, say A and B. We are familiar with the representation of points on a graph sheet.