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 + \(\lambda\) = 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 \(\alpha\) 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 \(x\over a\) + \(y\over b\) = 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 \((x_1, y_1)\) and \((x_2, y_2)\) is \(y – y_1\) = (\(y_2 – y_1\over x_2 – x_1\))(\(x_2 – x_1\)) 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 \(P(x_1, y_1)\) and has the slope ‘m’ is \(y – y_1\) = 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 law of total probability theorem with examples. Let’s begin – Total Probability Theorem (Law of Total Probability) Let an event A of an experiment occurs with its n mutually exclusive and exhaustive events \(B_1,B_2,B_3….B_n\) then total probability of occurrence of event A is P(A) = \(P(AB_1)\) + \(P(AB_2)\) +……..+ \(P(AB_n)\) P(A)
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Here you will learn formula for multiplication theorem probability with examples. Let’s begin – Multiplication Theorem Probability It is called compound probability or multiplication theorem. It says the probability that both A and B occur is equal to the probability that A occur times the probability that B occurs given that A has occurred. If
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Here you will learn types of vectors in maths. Let’s begin – Types of Vectors in Maths (a) Zero or Null Vector A vector whose initial and terminal points are coincident is called the zero or the null vector. Thus, the modulus of the null vector is zero but it can be thought of as
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Here you will learn definition of coplanar vectors with example and test of coplanarity of four points. Let’s begin – Coplanar Vectors A system of vectors is said to be coplanar, if their supports are parallel to the same plane. Note : Two vectors are coplanar. Theorem 1 (Test of Coplanarity of Three vectors) Let
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