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Coordinate Geometry

Separate Equations of Lines (Factorization Method)

Science > Mathematics > Pair of Straight Lines > Separate Equations of Lines (Factorization Method) In this article, we shall study to obtain separate equations of lines from a combined or joint equation of pair of lines by factorization method. Algorithm: Check if lines exist. use the same method used in the case to find […]

Categories
Coordinate Geometry

Combined Equation of Lines When Point on it and Two Other Lines are Given

Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Point and Two Other Lines are Given In this article, we shall study to find a combined or joint equation of pair of lines when a point on the line and equations of two other lines are given. You Should Know […]

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Coordinate Geometry

Combined Equation of Lines When Lines are Parallel to Axes

Science > Mathematics > Pair of Straight Lines > Joint Equation of Lines When Lines are Parallel to Axes In this article, we shall study to find a combined or joint equation of pair of lines when lines are parallel to coordinate axes. Algorithm: When line passes through (h, k) and is parallel to co-ordinate axes […]

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Coordinate Geometry

Combined Equation of Lines When Their Slopes are Given

Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Their Slopes are Given In this article, we shall study to find a combined or joint equation of pair of lines when the slopes of lines are given. Algorithm: Locate slopes m1 and m2 of the two lines. Use y = […]

Categories
Coordinate Geometry

Combined Equation of Lines When Their Inclinations are Given

Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Inclinations are Given In this article, we shall study to find a combined equation of pair of lines when the inclinations of lines are given. Algorithm: If θ is the inclination of a line, then its slope is given by m […]

Categories
Coordinate Geometry

Combined Equation of Lines when Separate Equations are Given

Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines when Separate Equations are Given In this article, we shall study to find a combined equation of pair of lines when a separate equation of each line is given. Algorithm: Write equations of lines in the form u = 0 and  v […]

Categories
Coordinate Geometry

Homogeneous Equation of Pair of Straight Lines

Science > Mathematics > Pair of Straight Lines > Homogeneous Equation of Pair of Straight Lines We have already studied the topic equation of a straight line. In this article, we shall study the concept of a homogeneous equation of pair of straight lines. Concept of Pair of Lines: Two lines l1, and l2 are said […]

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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 […]