In a chemical reaction, one or more substances, called reactants undergo a chemical change to produce new substances called products of the reaction. Thus a chemical reaction is a process in which reactants undergo a change to produce products. Reactants: One or more substances which react and undergo chemical change are called reactants of the […]
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Science > Mathematics > Coordinate Geometry > Straight Lines > Equation of Line: Two Point Form In this article, we shall study to find the equation of a line using a two-point form. Example 01: Find the equation of a line passing through the points (5, 4) and (3, -2) Solution: Let the points be […]
Science > Mathematics > Coordinate Geometry > Straight Lines > Intercepts of Line on the Axes In this article, we shall study the concept of intercepts of line on coordinate axes. If a straight line intercepts X-axis at the point A and Y-axis at point B, then the x-coordinate of A and y-coordinate of B […]
In this article, we shall study to prove given quadrilateral to be or parallelogram, or rhombus, or square, or rectangle using slopes. Example – 01: Using slopes show that the points (-2, -1), (4, 0), (3, 3) and (-3, 2) are the vertices of a parallelogram. Solution: Let A(-2, -1), B(4, 0), C(3, 3) and […]
Science > Mathematics > Coordinate Geometry > Straight Lines > Slope Problems Related With Triangles In this article, we shall study to find slopes of altitude, median, and perpendicular bisectors of sides of triangle and also the mrthod to prove that given triagle is a right angled triangle using slopes of its sides. Example – […]
Science > Mathematics > Coordinate Geometry > Straight Lines > Condition for Parallelism and Perpendicularity In this article, we shall study the Condition for parallelism and the condition of perpendicularity of lines. Condition for Parallelism: If two lines are parallel, then their slopes are equal. Let slopes of the two parallel lines be m1 and […]
Science > Mathematics > Coordinate Geometry > Straight Lines > Slope Point Form In this article, we shall study to find the equation of a straight line using slope point form. Example – 01: Find the equation of following lines passing through (3, -2) with slope -2 Line passes through point (3, -2) = (x1, […]
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The slope of a Line
Science > Mathematics > Coordinate Geometry > Straight Lines > The slope of Line In this article, we shall study to find the slope of line AB, when points A(x1, y1) and B(x2, y2) are given. Type – I: To Find Slopeof a Line When Two Points on the Line are Given: Example – 01: […]
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The Inclination of a Line
Science > Mathematics > Coordinate Geometry > Straight Lines > The Inclination of a Line In this article, we shall study the concept of inclination of a line and the slope of the line The inclination of a Line: A line in a coordinate plane forms two angles with the x-axis, which are supplementary. The […]
Science > Mathematics > Coordinate Geometry > Locus > New Equation of Locus After Shifting Origin Type – I: To Find New Equation of Locus After Shifting the Origin Example – 01: The origin is shifted to the point (1, -4). Find the new equation of locus 2×2 – xy + 3y2 – 8x + […]