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Find the equation of the circle which ...

Find the equation of the circle which
touches the circle `x^(2) + y^(2) - 2x - 4y - 20 = 0`
externally at `(5, 5)` with radius 5.

A

`x^(2) + y^(2) + 18x + 16y + 120 = 0 `

B

`x^(2) + y^(2) + 18x -16y + 120 = 0`

C

`x^(2) + y^(2) - 18x + 16y + 120 = 0 `

D

`x^(2) + y^(2) + 18x + 16y - 120 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

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  18. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

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  19. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

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  20. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

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