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B and C are fixed points having co-ordinates (3,0) and (-3,0) respectively. If the vertical angle BAC is `90^@`, then the locus of the centroid of the `Delta ABC` has the equation

A

`x^(2) + y^(2) = 1`

B

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

C

`9(x^(2) + y^(2)) = 1`

D

`9(x^(2) + y^(2)) = 4`

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MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
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  7. intercept on y-axis, by a circle whose diameter is the line joining th...

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  8. If (6, –3) is the one extremity of diameter to the circle x^(2) + y^(2...

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  9. If y = 2x + K is a diameter to the circle 2(x^(2) + y^(2)) + 3x + 4y –...

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  10. A circle touches x axis at +3 distance and cuts an intercept of 8 in +...

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  11. The gradient of the tangent line at the point (a cos alpha, a sin alph...

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  12. If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , th...

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  13. If y=c is a tangent to the circle x^(2)+y^(2)–2x+2y–2 =0 at (1, 1), th...

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  14. Line 3x + 4y = 25 touches the circle x^(2) + y^(2) = 25 at the point

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  15. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

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  16. The parametric coordinates of any point on the circle x^(2) + y^(2) – ...

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  17. Cartesian equations of a circle whose parametric equation are x = – 7 ...

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  18. Find the equation of the two tangents from the point (0, 1 ) to the ci...

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  19. Find the equation of the normal to the circle x^2+y^2=9 at the point (...

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  20. The length of the tangent drawn from the point (2, 3) to the circles 2...

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