The number of different straight lines that are formed with A (2,3), B(3,4), C(5,6), D(3,7) are
4
Given points are A (2,3), B(3,4), C(5,6), D(3,7)
Equation of line ¯¯¯¯¯¯¯¯AB is x-y+1=0
C(5,6) lies on this line, but not D(3,7)
∴ 3 collinear points and one different point are given
∴ No. Of lines that are formed =4
Note:
No. of lines that are formed with 'n' non-collinear = nC2
Out of 'n' points if 'p' points are collinear then no. of lines that are fromed = nC2−PC2+1