defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Trigonometry Trigonometric Functions
Consider three points \(P=(-\sin(\beta-\alpha), -\cos\beta) \ , Q=(\cos(\beta-\alpha), \sin\beta)\) and \(R=(\cos(\beta-\alpha +\theta), \sin(\beta-\theta))\) , where \(0< \alpha, \ \beta, \ \theta <\displaystyle \frac{\pi}{4}\). Then
1
\(P\) lies on the line segment \(RQ\)
2
\(Q\) lies on the line segment \(PR\)
3
\(R\) lies on the line segment \(QP\)
4
\(P, Q, R\) are non-collinear