Consider three points P(cos⁡α,sin⁡β), Q(sin⁡α,cos⁡β) and R(0,0). Where 0<α,β<π/4 Then

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

P lies on the line segment RQ

Q lies on the line segment PQ

R lies on the line segment QP

P, Q, R are non-collinear.

answer is D.

(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

Consider Δ=cos⁡αsin⁡β1sin⁡αcos⁡β1001=cos⁡αcos⁡β−sin⁡αsin⁡β=cos⁡(α+β)≠0 as 0<α+β<π/2Hence the given points are non-collinear.

Watch 3-min video & get full concept clarity