| 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\[2\,\cos \theta =a+\frac{1}{a}\], where \[a>0,\,a\ne 1\] |
| Reason \[-1\le \,cos\,\theta \,\le 1\]for all values of \[\theta \]. |
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: D
Solution :
| Assertion |
| We have, |
| \[2\,\cos \theta =a+\frac{1}{a}\] |
| It is not possible because \[a>0\]. |
| \[\therefore \cos \theta \le 1\] |
| and Reason is true. Assertion is false but Reason is true. |
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