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If tan^2theta -(1+sqrt3)tan theta + sqrt...

If `tan^2theta -(1+sqrt3)tan theta + sqrt3=0`, then the general value of theta is

A

`npi+(pi)/(4),npi+(pi)/(3)`

B

`npi-(pi)/(4),npi+(pi)/(3)`

C

`npi+(pi)/(4),npi-(pi)/(3)`

D

`npi-(pi)/(4),npi-(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that , `tan^(2)theta-tantheta-sqrt(3)tantheta+sqrt(3)=0`
`rArrtantheta(tantheta-1)-sqrt(3)(tantheta-1)=0`
`rArr(tantheta-sqrt(3))(tantheta-1)=0`
`rArrtheta=npi+(pi)/(3)ornpi+(pi)/(4)`
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