Different Forms of Circle#!#Straight Lines and Triangle

Different Form Of Equation Of Straight Line

Straight line : Triangle :?: Circle

There are n points in a plane in which no three are in a straight line except m which are all in a straight line.Find the number of (i) different straight lines,(ii) different triangles,(iii) different quadrilaterals triangles,(iii) with the given points as vertices.

Different form OF straight line: General form || Point slope || Two point || Slope Intercept form

Thegreatest possible number of points ofintersection of 9 different straight lines &9 different circles in a plane is

Various form OF straight line

Find the maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circle and concentric.

Find the maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circles are concentric

There are 15 points in a plane, no three of which are in the same straight line with the exception of 6, which are all in the same straight line. Find the number of i. straight lines formed, ii. number of triangles formed by joining these points.

Out of 15 points in a plane, n points are in the same straight line. 445 triangle can be formed by joining these points. What is the value of n ?