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A=(cos theta, sin theta) and B=(sin thet...

`A=(cos theta, sin theta) and B=(sin theta,-cos theta)` are two points. The locus of the centroid of `triangleOAB` where O is the origin is

A

`x^(2)+y^(2)=3`

B

`9x^(2)+9y^(2)=2`

C

`2x^(2)+2y^(2)=9`

D

`3x^(2)+3y^(2)=2`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
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  2. A circle of radius r passes through the origin and meets the axes at A...

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  3. A=(cos theta, sin theta) and B=(sin theta,-cos theta) are two points. ...

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  4. The equation of the circle which passes through the origin and cuts of...

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  5. The equation of the circle concentric with x^(2)+y^(2)-2x+8y-23=0 and ...

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  6. The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and h...

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  7. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

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  8. The equation of the circle passing through the points of intersection ...

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  9. The equation of the circle passing through (0,0), (0,a), (a,0) is

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  10. The equation of the circle passing through the points (1, 1),(2,-1),(3...

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  11. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

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  12. The centre of the circle passing through the points (a,b),(a,-b),(a+b,...

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  13. The points (1, 1), (- 6, 0), (-2, 2). (-2,-8) are

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  14. If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyche, then t=

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  15. The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

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  16. If (m(1),1//m(1)), i=1,2,3,4 are concyclic points, then the value of m...

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  17. The equation of the circle passing through the points (4, 1), (6, 5) a...

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  18. The equation of the circle having centre on the line 3x +4y =5 and pas...

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  19. The equation of the circle passing through (2, 0) and (0, 4) and havin...

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  20. A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a c...

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