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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 […]

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Coordinate Geometry

Shift of Origin

Science > Mathematics > Coordinate Geometry > Locus > Shift of Origin Type – I: To Find New Coordinates After Shift of Origin Example – 01: If the origin is shifted to a point (1, 2), axes remaining parallel, find the new coordinates of the point (2, -3) Solution: New origin (1, 2) ≡ (h, […]

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Coordinate Geometry

More Problems on Equation of Locus: Set – III

Science > Mathematics > Coordinate Geometry > Locus > Equation of the Locus In this article, we shall study the concept of locus and to find the equation of the locus. Example – 46: A(3, 1) and B(2, -5) are the vertices of a triangle. Find the equation of locus of the third vertex C, […]

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Coordinate Geometry

Point on Locus

Science > Mathematics > Coordinate Geometry > Locus > Point on Locus In this article, we shall study the method to check whether a given point lies on the locus or not and to find a point on locus satisfying the given condition. To Check Whether the Point Lies on the Locus: Algorithm: Write the […]

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Coordinate Geometry

Problems on Equation of Locus: Set – II

Science > Mathematics > Coordinate Geometry > Locus > Equation of Locus In this article we shall study the concept of locus and to find the equation of locus of a point using distance formula. Example – 31: Find the equation of the locus of a point such that its distance from (5, 0) is […]

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Coordinate Geometry

Equation of Locus: Set – I

Science > Mathematics > Coordinate Geometry > Locus > Equation of Locus In this article, we shall study the concept of locus and to find the equation of the locus. Locus: A set of points satisfying some geometrical condition or conditions is called as the locus For example, a circle is a locus of all […]