| Direction (Q. Nos. 89) For the following questions. Choose the correct answers from the codes [a], [b], [c] and [d] defined as follows. |
| Let us define a function \[f(x)=\sin \,\sqrt{2}x+\sin \,ax\] |
| Statement I The maximum value of \[f(x)\] cannot be 2, (where a is positive rational number) |
| Statement II \[\frac{\sqrt{2}}{a}\] is irrational. |
A) Statement I is true/ Statement II is also true and Statement II is the correct explanation of Statement I.
B) Statement I is true. Statement II is also true and Statement II is not the correct explanation of Statement I.
C) Statement I is true. Statement II is false.
D) Statement I is false. Statement II is true.
Correct Answer: B
Solution :
The vlaue of \[\sin \,\sqrt{2x}+\sin \,ax\] can be equal to 2, if \[\sin \,\sqrt{2}x\] and \[\sin \,ax\] both are equal to one but both are not equal to one for any common value of \[x\].
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