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 + […]
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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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, […]
Internal aids mean those aids which are available in the statute itself, though they may not be part of enactment. These internal aids include long title, preamble, headings, marginal notes, illustrations, punctuation, proviso, schedule, transitory provisions, etc. When internal aids are not adequate, the court has to take recourse to external aids. In this article, […]