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The point at which the circles x^(2)+y^(...

The point at which the circles `x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-12x-10y+45=0` touch each other is

A

`(13/5,14/5)`

B

`(2/5,5/6)`

C

`(14/5, 13/5)`

D

`(12/5, 2+(sqrt(21))/4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE -I
  1. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

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  2. The piont where the line 4x - 3y + 7 = 0 touches the circle x^(2) + y^...

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  3. The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (...

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  4. The mid point of the chord x-2y+7=0 w.r.t the circle x^(2)+y^(2)-2x-10...

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  5. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=4 is

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  6. The angle between the tangents drawn from the origin to the circle x^(...

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  7. The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 i...

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  8. The pair of tangents from origin to x^(2)+y^(2)+4x+2y-3=0 is

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  9. The circles x^(2)+y^(2)-8x+6y+21=0, x^(2)+y^(2)+4x=10y-115=0 are

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  10. The circles x^(2)+y^(2)-12x+8y+48=0, x^(2)+y^(2)-4x+2y-4=0 are

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  11. The circles x^(2)+y^(2)-2x-4y-20=0, x^(2)+y^(2)+4x-2y+4=0 are

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  12. The number of common tangents to x^(2)+y^(2)=8, x^(2)+y^(2)=2 is

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  13. The number of common tangents to x^(2)+y^(2)=256, (x-3)^(2)+(y-4)^(2)=...

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  14. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

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  15. The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-1...

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  16. The internal centre of similitude of the circles x^(2)+y^(2)-2x+4y+4=0...

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  17. The external centre of similitude of the circle x^(2)+y^(2)-12x+7y+48=...

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  18. The internal centre of similitude of two circles (x-3)^(2)+(y-2)^(2)=9...

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  19. The centre of circle passing through three non collinear points A,B,C ...

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  20. The area (in sq units) of the triangle formed by the tangent, normal a...

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