 ### Circle : Introduction

Definition : Circle : it is the locus of a point that in which moves in a plane such that its distance from a fixed point in a plane is always constant. The fixed point is known as centre and […]

### Introduction of Pair of straight lines

Pair of Straight lines :   It is combined product of more than one straight lines. Let us assume — For two lines : L1 :::      ax + by + c = 0  ….(1) L2 :::     […]

### Rotation axes and shifting origin

Change of Axis : Rotation in axes and shifting in origin. 1.Shifting of origin without Rotation of Axes : Initial :             Origin =  O( 0 , 0)            X-axis  = OX […]

### Mirror property in a straight line

Mirror property in a straight line : Reflection in the surface — Incident ray (IP) Normal (PN) Reflected ray (PR) Angle of incidence = angle of reflection Refraction in the surface — Let assume Incident ray makes an angle θ  […]

### Properties of a straight line

Properties of a straight line – Let equation ax + by + c = 0 1.Method to Write a line parallel to a given line – Change only the constant term in the given equation, the term of x and […]

### Angle Between Two Lines

Angle between two lines : Let two line y = m1x + c1  and  y = m2x + c2  and intersect at point A and makes an angle θ. Where m1 = tana and m2 = tanβ, then angle between […]

### Position of points with respect to line :

Position of points with respect to line : Let Equation of a straight line – ax + by + c = 0 And points P(x1,y1) and Q(x2 , y2) , then find position of points with respect to line- Assume, […]

### equation of straight lines

Equation of  straight lines : 1.General form The first-degree equation in x and y is known as a general form of a straight line. Example –  ax + by + c = 0 , where  a and b are not […]