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The equation `3cosx+4sinx=6` has ...... solution. finite (b) infinite (c) one (d) no

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The equation `3cosx+4sinx=6` has ...... solution. finite (b) infinite (c) one (d) no
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`3cosx+4sinx = 6`
Maximum value of `3cosx+4sinx` = `sqrt(3^2+4^2) = 5`
So, it is not possible that `3cosx+4sinx = 6`
So, the given equation has no solution.
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