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The centre of a circle passing through (0,0), (1,0) and touching the CircIe `x^2+y^2=9` is a. `(1/2,sqrt2)` b. `(1/2,3/sqrt2)` c. `(3/2,1/sqrt2)` d. `(1/2,-1/sqrt2)`.

A

(3/2, 1/2)

B

(1/2, 3/2)

C

(1/2, 1/2)

D

`(1//2, pm sqrt(2))`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
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  3. The centre of a circle passing through (0,0), (1,0) and touching the C...

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  4. The circle x^2+y^2=4 cuts the circle x^2+y^2+2x+3y-5=0 in A and B, The...

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  9. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

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  10. The angle between the pair of tangents from the point (1, 1/2) to the...

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  12. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  13. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  14. Two tangents to the circle x^(2) +y^(2) = 4 at the points A and B meet...

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  15. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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  16. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

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  20. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

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