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The circle passes through the point (1,2) and cuts the circle `x^(2)+y^(2)=4` orthogonally, then the equation of the locus of the centre is

A

`x^(2)+y^(2)-3 x-8 y+1=0`

B

`x^(2)+y^(2)-2 x-6 y-7=0`

C

`2 x+4 y-9=0`

D

`2 x+4 y-1=0`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  2. The equation of a circle which touches the y -axis and has its centre...

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  3. The circle passes through the point (1,2) and cuts the circle x^(2)+...

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  4. The two circles x^2+y^2-2x-3=0 and x^2+y^2-4x-6y-8=0 are such that :

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  5. The centre of a circle is (3,-1) and it makes an intercept of 6 units...

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  6. If 3 x+y=0 is a tangtnt to the circle which has its centre at the poi...

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  7. The equation of the smalltst circle passing through the points (2,2) ...

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  8. The point (5,-7) lines outside the circle

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  9. If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each o...

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  10. The length of the diameter of the circle which cuts three circles x...

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  11. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

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

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  13. Two circles centered at (2,3) and (5,6) intersect each other. If the r...

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  14. The points (1,0 ),(0,1),(0,0) and (2k,3k), k ne 0 are concyclic if k =

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  15. If a circle with the point (-1, 1) as the centre touches the line x + ...

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  16. The Locus of the centre of the circle of radius 3, which rolls on the ...

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  17. if the square of the length of the tangents from point P to the circ...

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  18. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

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  19. The centres of a set of circleS each of radius 3 lies on the circle ...

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  20. The equation of a circle with origin as centre and passing through the...

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