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The equation of the circle passing throu...

The equation of the circle passing through the point `(1,0) and (0,1)` and having the smallest radius is

A

`x ^(2) + y^(2) - 2x - 2y + 1=0`

B

`x ^(2) + y^(2) -x -y =0`

C

`x ^(2) + y^(2) + 2x + 2y -7=0`

D

`x ^(2) + y^(2) + x+ y -2=0`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
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  5. For the equation ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0 where a n...

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  8. Equation of circle with centre (-a,-b) and radius sqrt(a^(2)-b^(2)) is

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  11. x ^(2) + hxy + y^(2) -6x -2y +k=0 is the equation of the circle and 2...

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  12. A circle x ^(2) + y^(2) + 2gx + 2fy + c=0 passing through(4,-2) is co...

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  13. Find the centre and radius of the circles2x^2+2y^2-x=0

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  14. If one end of a diameter of the circle x^(2) + y^(2) -4x-6y +11=0 is (...

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  15. The point diametrically opposite to the point P(1, 0) on the circle x^...

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  16. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

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  17. If one of the diameters of the curve ""^(2) + y ^(2) - 4x - 6y +9=0 is...

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  18. If one of the diameters of the circle, given by the equation x ^(2) + ...

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