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The point on a circle nearest to the poi...

The point on a circle nearest to the point `P(2,1)` is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

A

`(3+sqrt2,2+sqrt2)`

B

`(2+sqrt2,3+sqrt2)`

C

`(4+sqrt2,3+sqrt2)`

D

`(3+sqrt2,4+sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CIRCLE -Exercise For Session 2
  1. 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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  2. If one end of a diameter of the circle 2x^(2)+2y^(2)-4x-8y+2=0 is (-1,...

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  3. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

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  4. A circle passes through the points (-1,3) and (5,11) and its radius is...

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  5. The radius of the circle, having centre at (2, 1), whose one of the ch...

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  6. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  7. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

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  8. The locus of the centre of the circle for which one end of the diamete...

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  9. The equation of the circle which passes through (1, 0) and (0, 1) and ...

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  10. find the value of 'c' if the points (2,0), (0,1),(4,5) and (0,c) are c...

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  11. The point on a circle nearest to the point P(2,1) is at a distance of ...

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  12. The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...

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  13. Find the equation of the circle the end point of whose diameter are ...

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  14. If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15...

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  15. The sides of a rectangle are given by the equations x=-2, x = 4, y=-2 ...

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  16. Find the equation(s) of circle passing through the points (1, 1), (2, ...

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  17. Find the equation of the circle which passes through the points (3,4),...

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