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 \((x_1, y_1)\) to a line ax + by + c = 0 is |\(ax_1 + by_1 + c\over {\sqrt{a^2+b^2}}\)|. It …
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Here you will learn how to find point of intersection of two lines with examples. Let’s begin – How to find Point of Intersection of Two Lines Let the equations of two lines be \(a_1x + b_1y + c_1\) = 0 and, \(a_2x + b_2y + c_2\) = 0 Suppose these two lines intersect at …
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Here you will learn method of difference in sequences and series with examples. Let’s begin – Method of Difference Some times the \(n^{th}\) term of a sequence or a series can not be determined by the method, we have discussed earlier. So we compute the difference between the successive terms of given sequence for obtained …
Here you will learn sum of gp to infinity (sum of infinite gp) and its proof with examples. Let’s begin – Sum of GP to Infinity (Sum of Infinite GP) The sum of an infinite GP with first term a and common ratio r(-1 < r < 1 i.e. , | r | < 1) …
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Here you will learn what is geometric progression and formula for geometric progression with examples. Let’s begin – Geometric Progression (GP) A sequence of non-zero numbers is called a geometric progression (GP) if the ratio of a term and the term preceding to its always a constant quantity. The constant ratio is called the common …
Here you you will learn what is arithmetic progression (AP) and formula for arithmetic progression. Let’s begin – Arithmetic Progression (AP) A sequence is called an arithmetic progression if the difference of a term and the previous term is always same i.e. \(a_{n+1}\) – \(a_n\) = constant (=d) for all n \(\in\) N The constant …
Here, you will learn definition of collinear vectors, coplanar vectors, co-initial vectors and test of collinearity of three points. Let’s begin – Definition of Collinear Vectors Two vectors are said to be collinear if their supports are parallel disregards to their direction. Collinear vectors are also called Parallel vectors. If they have the same direction …
Here you will learn what is agp (Arithmetico Geometric Series) and how to solve agp series. Let’s begin – What is AGP (Arithmetico – Geometric series) A series, each term of which is formed by multiplying the corresponding term of an A.P. & G.P. is called the Arithmetico-Geometric Series, e.g. 1 + 3x + 5\(x^2\) …
Here you will learn formula for arithmetic geometric and harmonic mean and relation between arithmetic geometric and harmonic mean. Let’s begin – Arithmetic Mean Formula If three terms are in A.P. then the middle term is called the A.M. between the other two, so if a, b, c are in A.P., b is A.M. of …
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Here you will learn integration by partial fraction formula and integration of irrational functions. Let’s begin – Integration by Partial Fraction Formula (i) Integration of Rational Functions S.No form of rational function form of partial fraction 1 \(px^2+qx+r\over {(x-a)(x-b)(x-c)}\) \(A\over {x-a}\) + \(B\over {x-b}\) + \(C\over {x-c}\) 2 \(px^2+qx+r\over {{(x-a)}^2(x-b)}\) \(A\over {x-a}\) + \(B\over {(x-a)}^2\) …
