Question

Consider three points P(–sin(β –α),–cosβ ), Q(cos(β –α), sinβ ) and R(cos(β –α+θ ), sin(β – θ )), where 0<α, β , θ < 4/π . Then

(a) P lies on the line segment RQ.

(b) Q lies on the line segment PR.

(c) R lies on the line segment QP.

(d) P, Q, R are non-collinear.

Answer 1

Correct option is (d) P, Q, R are non-collinear.