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properties of the simplest geometric figure – straight line. Despite its simplicity, the line is a vital concept of geometry and enters into our daily experiences in numerous interesting and useful ways. Main focus is on representing the line algebraically, for which slope is most essential. 9.2 Slope of a Line
10.2.1 Slope of a line when coordinates of any two points on the line are given We know that a line is completely determined when we are given two points on it. Hence, we proceed to find the slope of a line in terms of the coordinates of two points on the line. Let P(x 1, y 1) and Q(x 2, y 2) be two points on non-vertical line l whose ...
10.1.1 Slope of a line. If θ is the angle made by a line with positive direction of x-axis in anticlockwise direction, then the value of tan θ is called the slope of the line and is denoted by m. The slope of a line passing through points P(x. 1, y 1) and Q (x 2, y 2) is given by. m = tan θ = y 2 − y 1 x − x 2 1.
Slope (Gradient) of a Line ) The trigonometric tangent of the angle that a line makes with the positive direction of the X-axis in anti-clockwise sense is called the slope or gradient of the line. So, slope of a line, m = tan θ where, θ is the angle made by the line with positive direction of X-axis. Important Results on Slope of Line
22 Μαρ 2022 · The NCERT Class 11 Maths chapter 10 notes are based on the straight line. We will study the inclination of line with the x-axis, slope normal form of a straight line, intercepts from of a straight line, distance from a point to a line, the distance between parallel lines.
This document provides a summary of key concepts about straight lines from the CBSE Class 11 Mathematics chapter on straight lines. It defines straight lines and discusses calculating the slope of a line.
Below are the important topics covered in Class 11 Chapter 10 Maths revision notes. The slope of a line. The slope of a line when coordinates of any two points on a line are given. Conditions of perpendicularity and parallelism of lines in terms of their slopes. The angle between two lines.
