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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

Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

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  3. The equation of the circle passing through the point (1,0) and (0,1) a...

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  4. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

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  5. The length of the diameter of the circle which touches the x-axis at t...

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  6. The circle passing through (1, -2) and touching the axis of x at (3...

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  7. If each of the lines 5x + 8y = 13 and 4x - y = 3 contains a diameter o...

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  8. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

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  9. If two vertices of an equilateral triangle are A (-a,0)and B (a,0), a ...

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  10. If the circle x ^(2) +y ^(2) - 6x - 8y + (25 -a ^(2)) =0 touches the a...

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  11. Statement I : The only circle having radius sqrt(10) and a diameter al...

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  12. If a circle of unit radius is divided into two parts by an arc of anot...

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  13. 1) 1/5 2) 10 3) 10v2 4) 5v2 Let C be the circle with centre at (1,1) a...

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  14. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

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  15. The set of all real values of lambda for which exactly two common tang...

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  16. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

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  17. The equation of the circle described on the chord 3x + y + 5 =0 of the...

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  18. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  19. If the incentre of an equilateral triangle is (1,1) and the equation o...

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  20. If a circle passing through the point (-1, 0) touches y-axis at (0, 2)...

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