The number of solutions of equation |(1,...

The number of solutions of equation `|(1,1,1), (1,1+sin theta,1), (1,1, 1+cot theta)|=0` in `theta in [0, 2 pi]` is equal to

A

2

B

3

C

4

D

5

Verified by Experts

The correct Answer is:

A

`|(1,1,1),(1,1+sin theta,1),(1,1,1+cot theta)|=0`
`therefore sin theta.cot theta=0`
`rArr theta=(pi)/(2),(3pi)/(2)`

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