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If circles (x -1)^(2) + y^(2) = a^(2) "...

If circles ` (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = b^(2)` touch each other externally , then

A

` a - b = 3 `

B

`a^(2) + b^(2) = 1`

C

a + b =1

D

` a + b = 3 `

Text Solution

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The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  2. If (h,k) is the centre of a circle passing through the origin then its...

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  3. If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...

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

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  6. Find the equation of the circle which touches the circle x^(2) + y^(...

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  7. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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  8. The locus of the point whose co-ordinates are x = 3 cos theta + 2 ...

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  9. The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...

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  10. If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...

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  11. If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...

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  12. Equation of circle which passes through (-1,2) and (1,2) , and touc...

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  13. If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...

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  14. The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...

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  15. If r(1), r(2) " and " r(3) are the radii of the circle x^(2) + y^(2)...

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  16. If the lines 5x - 12y = 5 " and " 10x - 24y + 3 = 0 are tangents ...

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  17. If the circle described on the join of (2,3) and (3,a) as a diameter p...

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

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  19. Area of the circle x^(2) + y^(2) + 2 cos theta sin phi * x + 2 s...

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