| 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 \[\left( \cot \,\theta +3 \right)\left( 3\cot \theta +1 \right)=3\,\cos e{{c}^{2}}\theta +10\,\cot \,\theta \] |
| Reason \[1+{{\cot }^{2}}\theta =\cos e{{c}^{2}}\theta \] |
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: A
Solution :
| Assertion |
| \[\left( \cot \theta +3 \right)\left( 3\cot \theta +1 \right)\]\[\] |
| \[=3{{\cot }^{2}}\theta +3+9\cot \theta +\cot \theta \] |
| \[=3\left( 1+{{\cot }^{2}}+\theta \right)+\cot \theta \left( 9+1 \right)\] |
| \[=3{{\operatorname{cosec}}^{2}}\theta +10\cot \theta \]\[\] |
| Reason True Hence, Assertion and Reason are true and correct explanation for Assertion. |
You need to login to perform this action.
You will be redirected in
3 sec
