If you are quick at observing , this question can be solved just by looking at the options as ,
=
= which is option (b)
∴ (d) Answer
Actually solving the question.
For R and S to overlap,
∆ PQR is congurent to ∆ PSQ
∴ ∠ QPR = ∝ ; ∠ SQP = ∠ PQR = 90 - ∝
=) ∠ RQT = 2∝ (180°-(180°-2∝))
We can draw the figure as :-
∴In ∆ QRT
QT = QR cos2∝
In ∆ PSQ,
SQ = PQ sin ∝ = QR
∴ w = QT + SQ = PQ sin∝cos2∝ + PQ sin ∝
=
(as shown earlier)
Answer choice (D)
Correct Answer: Any two of the above