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 …
Point of Intersection of Two Lines – Formula and Example Read More »
Here you will learn formula for orthocenter in a triangle, ex-centers and equation of locus of a point. Let’s begin – Orthocenter in a Triangle It is the point of intersection of perpendiculars drawn from the vertices on the opposite sides of a triangle and it can be obtained by solving the equation of any …
Here, you will learn formula for circumcenter of a triangle and formula for incenter of a triangle. Let’s begin – Formula for Circumcenter of a Triangle It is the point of intersection of perpendicular bisectors of the sides of a triangle. If O is the circumcenter of any triangle ABC, then \(OA^2\) = \(OB^2\) = …
Formula for Circumcenter of a Triangle | Incenter of Triangle Read More »
Here you will learn formula for centroid of triangle and how to find centroid in a triangle with example. Let’s begin – Centroid in a Triangle If A(\(x_1,y_1\)), B(\(x_2,y_2\)) and C(\(x_3,y_3\)) are vertices of any triangle ABC, then The centroid is the point of the intersection of the medians(line joining the mid-point of sides and …
Here, you will learn what is the section formula and distance formula and and applications of distance formula. Let’s begin – Section Formula – for internal and external division The co-ordinates of a point dividing a line joining the points P(\(x_1,y_1\)) and Q(\(x_2,y_2\)) in the ratio m : n is given by : (a) for …
Here, you will learn equation of family of lines and the combined equation of the bisectors of the angle between the lines. Family of Lines Equation If equation of two lines be P = \(a_1x+b_1y+c_1\) = 0 and Q = \(a_2x+b_2y+c_2\) = 0, then the equation of the lines passing through the point of intersection …
Family of Lines – The combined Equation of Angle Bisectors Read More »
Here, you will learn equation of straight lines in all forms i.e. slope form, intercept form, normal form and parametric form etc. Let’s begin – A relation between x and y which is satisfied by co-ordinates of every point lying on a line is called equation of the straight lines. Here, remember that every one …
Here, you will learn formula for angle between two lines, equation of straight line making an angle with a given line and reflection and image of a point in a line and also length of perpendicular from a point on a line. Let’s begin – Angle between Two Lines (a) If \(\theta\) be the angle …
In this post, you will learn how to separate pair of straight lines with example. Let’s begin – How to Separate Pair of Straight Lines (i) Let us consider the homogeneous equation of second degree as \(ax^2+2hxy+by^2\) = 0 ……(i) which represent pair of straight lines passes through the origin. Now, we divide by \(x^2\), …
Earlier we find Area of Triangle by using the formula – Area of Triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\) where s = \(a+b+c\over 2\) and a, b, c are the sides of the triangle. we have used this heron’s formula to find the area of a triangle when the lengths of its sides are given. Here, we will …
