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The centre of a circle passing through t...

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle `x^(2)+y^(2)=9`, is

A

a)(3/2,1/2)

B

b)1/2,3/2)

C

c)1/2,1/2)

D

d)`(1/2,-sqrt2)`

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Statement-1: The centre of the circle passing through the points (0, 0), (1, 0) and touching the circle C : x^(2)+y^(2)=9 lies inside the circle. Statement-2: If a circle C_(1) passes through the centre of the circle C_(2) and also touches the circle, the radius of the circle C_(2) is twice the radius of circle C_(1)

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The centre of the circle passing through (0.0) and (1,0) and touching the circle x^(2)+y^(2)=a^(2)is:(A)(1/2,1/2)(B)((1)/(2),-sqrt(2))(C)(3/2,1/2)(D)(1/2,3/2)'

A DAS GUPTA-Circles-EXERCISE
  1. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

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  2. The number of integral values of r for which the circle (x-1)^2+(y-3)...

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  3. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  4. If a circle passes through the point (a, b) and cuts the circle x^2 +y...

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  5. For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...

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  6. Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...

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  7. The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...

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  8. The radius of the circle passing through the point (6,2) and having x ...

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  9. A circle passes through point (3, sqrt(7/2)) and touches the line-pai...

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  10. The angle between a pair of tangents from a point P to the circe x^2 +...

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  11. Let AB be a line segment of length 4 with A on the line y = 2x and B o...

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  12. The locus of the centre of a circle which touches externally the circl...

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  13. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

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  14. Find the equation of the circle which passes through the origin and...

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  15. The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

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  16. The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...

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  17. The area of an equilateral triangle inscribed in the circle x^2 + y^2-...

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  18. The range of values of a such that the angle theta between the pair of...

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  19. Let A-=(-1,0),B-=(3,0), and P Q be any line passing through (4, 1) hav...

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  20. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

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