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Coordinate Geometry

Equation of Line: Two Point Form

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 […]

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Coordinate Geometry

Intercepts of a Line on the Axes

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 […]

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Coordinate Geometry

Slope Problems Related to Quadrilaterals

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 […]

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Coordinate Geometry

Slope Problems Related With Triangles

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 – […]

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Coordinate Geometry

Conditions for Parallelism and Perpendicularity of Lines

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 […]

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Coordinate Geometry

Equation of Line: Slope Point Form

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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Coordinate Geometry

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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Coordinate Geometry

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 […]

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Coordinate Geometry

New Equation of Locus After Shifting Origin

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 + […]

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Coordinate Geometry

To Find Point at Which Origin is Shifted

Science > Mathematics > Coordinate Geometry > Locus > To Find Point at Which Origin is Shifted Example – 01: If the equation x2 – 4x – 6y + 10 = 0 is transformed to X2 + AY = 0 after shifting the origin and  axes remaining parallel. Find the coordinates of the point where […]