| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion \[\cos 60{}^\circ -\sin 60{}^\circ \]is negative. |
| Reason \[{{\sin }^{2}}\theta -{{\cos }^{2}}\theta \]is positive, where \[\theta \] is an acute angle. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is false.
D) A is false; R is true.
Correct Answer: C
Solution :
| Assertion \[\cos \,60{}^\circ -\sin 60{}^\circ\] |
| \[\frac{1}{2}-\frac{\sqrt{3}}{2}=\frac{1-\sqrt{3}}{2}\] [It is negative] |
| Assertion is true and Reason is false. |
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