Here you will learn condition for the collinearity of points with examples. Let’s begin – Collinearity of Points If the given points lie in the same line, then the given points are collinear otherwise they are non-collinear. Condition for collinearity of three given points Three given points A(x1,y1), B(x2,y2) and C(x3,y3) are collinear if any […]
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Here you will learn what is the equation of line parallel to a given line with examples. Let’s begin – Equation of Line Parallel to a Line The equation of the line parallel to a given line ax + by + c = 0 is ax + by + λ, where λ is a constant.
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Here you will learn what is the equation of a line perpendicular to a line with proof and examples. Let’s begin – Equation of a Line Perpendicular to a Line The equation of a line perpendicular to a given line ax + by + c = 0 is bx – ay + λ = 0,
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Here you will learn normal form of a line equation with proof and examples. Let’s begin – Normal Form of a Line (Perpendicular form of line) The equation of the straight line upon which the length of of the perpendicular from the origin is p and this perpendicular makes an angle α with x-axis is
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Here you will learn intercept form of a line equation i.e. intercept cut by line on x-axis and y-axis with examples. Let’s begin – Intercept Form of a Line The equation of a line which cuts off intercepts a and b respectively from the x and y-axes is xa + yb = 1.
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Here you will learn two point form of a line equation with proof and examples. Let’s begin – Two Point Form of a Line The equation of a line passing through two points (x1,y1) and (x2,y2) is y–y1 = (y2–y1x2–x1)(x2–x1) Proof : Let m
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Here you will learn what is the point slope form of a line equation with proof and examples. Let’s begin – What is the Point Slope Form of a Line ? The equation of a line which passes through the point P(x1,y1) and has the slope ‘m’ is y–y1 = m\((x –
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Here you will learn what is slope intercept form of a line with examples. Let’s begin – What is Slope Intercept Form of a Line ? The equation of a line with slope m and making an intercept on y-axis is y = mx + c Proof : Let the given line intersects y-axis at
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Here you will learn some straight line examples for better understanding of straight line concepts. Example 1 : Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14. Solution : Let the equation of line be xa + yb = 1
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Here you will learn formula to find the distance of a point from a line with examples. Let’s begin – Distance of a Point from a Line The length of the perpendicular from a point (x1,y1) to a line ax + by + c = 0 is |ax1+by1+c√a2+b2|. It
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