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Consider three points P = (-sin (beta-al...

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 < pi/4` 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

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Consider three points P=(-sin (beta-alpha),-cos beta),Q=(cos (beta-alpha),sin beta) and H=(cos (beta-alpha+theta),sin (beta-theta)) , where theta lt alpha, beta, theta lt (pi)/4 Then

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  • 2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=

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  • 2 sin^(2) beta + 4 cos ( alpha + beta ) sin alpha sin beta + cos 2 ( alpha + beta ) =

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