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If POR is the triangle formed by the com...

If POR is the triangle formed by the common tangents to the circles `x^2+y^2+6x= 0` and `x^2+y^2-2x=0`, then the centroid of the triangle is at the point (a) (1,0) (b) (0, 0) (c) (-1,0) (d) none of these

Text Solution

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`x^2+y^2+6x=0`
`C:(-3,0)r=3`
`x^2+y^2-2x=0`
`C(1,0)r=1`
`C'R=2`
`CD=3/2`
`C:((-3/2-3/2+3)/3,0)` `C:(0,0)`
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