Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMEN T-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Let \( y_{1} \) and \( y_{2} \) be two different solutions of the equation \( \frac{\mathrm{d} y}{\mathrm{~d} x}+\mathrm{P}(x) y=\mathrm{Q}(x) \)
- Statement 1: \( y=y_{1}+\mathrm{C}\left(y_{2}-y_{1}\right) \) is the general solution of the same equation
Statement 2: If \( y_{1}, y_{2}, y_{3} \) are three different solutions then \( \frac{y_{2}-y_{1}}{y_{3}-y_{1}} \) is constant.
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