There are n concurrent lines and another line parallel to one of them. The number of different triangles that will be formed by the (n + 1) lines, is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(n−1)n2

(n−1)(n−2)2

n(n+1)2

(n+1)(n+2)2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The number of triangles = number of selections of 2 lines from the (n – 1) lines which are cut by the last line=n−1C2=(n−1)!2!(n−3)!=(n−1)(n−2)2

Watch 3-min video & get full concept clarity