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To the circle x^(2)+y^(2)=4, two tangent...

To the circle `x^(2)+y^(2)=4`, two tangents are drawn from `P(-4,0)`, which touch the circle at `T_(1)` and `T_(2)` . A rhomus `PT_(1)P'T_(2)` s completed.
The circumcenter of triangle `PT_(1)T_(2)` is at

A

`2:1`

B

`1:2`

C

`sqrt(3) : 2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
4
Clearly, `PT_(1)PT_(2)` is rhombus
So, area of `Delta PT_(1)P'` and that of `Delta P'T_(1)T_(2)` are same.
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