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The value of theta in [0, 2pi] so that c...

The value of `theta` in `[0, 2pi]` so that circle `x^(2)+y^(2)+2 (sin alpha)x+2(cos alpha)y+sin^(2)theta=0` always lies inside the square of unit side length, is/are

A

`(pi//3, 2pi//3)`

B

`[4pi//3, 5pi//3]`

C

`(pi//4, 2pi//3)`

D

none of these

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The correct Answer is:
D
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  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

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  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

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  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

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  13. If P is a point such that the ratio of the squares of the lengths of t...

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  16. The radical centre of three circles described on the three sides x+y=5...

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