In a \( \triangle P Q R, L \) and \( M \) are two points on base \( Q R \), such that \( \angle ...

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In a \( \triangle P Q R, L \) and \( M \) are two points on base \( Q R \), such that \( \angle L P Q=\angle Q R P \) and \( \angle R P M=\angle R Q P \).
Then, which of the following is/are true :
(i) \( \triangle P Q L \sim \triangle R P M \)
(ii) \( Q L \times R M=P L \times P M \)
(iii) \( P Q^{2}=Q R \cdot Q L \)
(a) Both (i) and (ii)
(b) Both (ii) and (iii)
(c) Both (i) and (iii)
(d) All the three
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