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This section contains 11 questions. Each question contains Statement I (Assertion) and Statement II (Reason). Each question has 4 choices (a), (b), (c) and (d) out of which only one is correct. The choices are
(a) Both Statement I and Statement II are individually true and \( \mathrm{R} \) is the correct explanation of Statement I.
(b) Both Statement I and Statement II are individually true but Statement II is not the correct explanation of Statement I.
(c) Statement I is true but Statement II is false.
Statement I If \( \alpha \) and \( \beta \) are two distinct solutions of the equation \( a \cos x+b \sin x=c \), then \( \tan \left(\frac{\alpha+\beta}{2}\right) \) is independent of \( c \).
Statement II Solution of \( a \cos x+b \sin x=c \) is possible, if \( -\sqrt{\left(a^{2}+b^{2}\right)} \leq c \leq \sqrt{\left(a^{2}+b^{2}\right)} \)
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