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The figure below represents a triangle PQR with initial coordinates of the vertices as P(1, 3), Q(4, 5) and ft(5.3.5). The triangle is rotated in X-Y plane about the vertex P by angle θ in clockwise direction. If sinθ = 0.6 and cosθ = 0.8, the new coordinates of the vertex Q are
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- (4.6, 2.8)
- (3.2, 4.6)
- (7.9, 5.5)
- (5.5, 7.9)
- (4.6, 2.8)
Correct Option: A
If the ∆PQR rotator by θ Clockwise then abscissa value of Q must increase whereas ordinate value of Q must decreases and only satisfying option is (4.6, 2.8) i.e. A.