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The equation of the circle passing throu...

The equation of the circle passing through (2, 0) and (0, 4) and having the minimum radius is

A

`x^(2)+y^(2)=20`

B

`x^(2)+y^(2)-2x-4y=0`

C

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

D

`x^(2)+y^(2)=16`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-EXERCISE -I
  1. If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)...

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  2. The circle through the points (2,3), (2,2), (3,2) is

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  3. The equation of the circle passing through (2, 0) and (0, 4) and havin...

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  4. If the points (0,0),(2,0),(0,-2) and (k,-2) are concylic then k=

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  5. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

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  6. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

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  7. If a circle is inscribed in a square of side 10, so that the circle t...

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  8. The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 i...

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  9. The equation of the circle with centre (3,2) and the power of (1,-2) w...

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  10. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

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  11. A chord through P cut the circle x^(2)+y^(2)+2gx+2fy+c=0 in A and B an...

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  12. A chord of length 24 units is a distance of 5 units from the centre of...

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  13. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

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  14. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

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  15. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

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  16. If P is a point such that the ratio of the squares of the lengths of t...

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  17. The locus of the point from which the length of the tangent to the cir...

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  18. The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1...

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  19. The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 t...

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  20. The equation of the tangents to the circle x^(2)+y^(2)=25 with slope 2...

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