Given four points such that No three of them are collinear, then there exists (a) 2 lines (b) 4 - Maths - Introduction to Euclid\s Geometry

Question

Given four points such that No three of them are collinear, then
there exists
(a) 2 lines (b) 4 lines
(c) 6 lines (d) 5 lines
can u pls tell which option and
why

Priyanka Kedia · Accepted Answer

$G i v e n, f o u r p o int s s u c h t h a t n o t h r e e o f t h e m a r e c o l l u n e a r . W e k n o w t h a t a l i n e c a n b e f o r m e d u \sin g t w o p o int s . T h e r e f o r e, N o . o f l i n e s t h a t c a n b e f o r m e d u \sin g 4 p o int s = {{}^{4}C}_{2} = \frac{4!}{2! 2!} = 6 H e n c e, o p t i o n (c) i s c o r r e c t . O r, I t i s c l e a r f r o m f i g u r e t h a t t h e r e e x i s t s i x l i n e s .$

Given four points such that No three of them are collinear, then there exists. (a) 2 lines (b) 4 lines (c) 6 lines (d) 5 lines can u pls tell which option and why

Given four points such that No three of them are collinear, then there exists.

(a) 2 lines (b) 4 lines

(c) 6 lines (d) 5 lines

can u pls tell which option and why