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Find the equation of image circle of the...

Find the equation of image circle of the circle `x^(2)+y^(2)-2x=0` in the line `x+y-2=0`

A

`(x+2)^(2)+(y+1)^(2)=1`

B

`(x+2)^(2)+(y-1)^(2)=1`

C

`(x-2)^(2)+(y+1)^(2)=1`

D

`(x-2)^(2)+(y-1)^(2)=1`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its si...

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  2. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

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  3. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

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  4. The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 i...

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  5. The circle passing through (0,0),(a,0), (0,b) is

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  6. The radius of the circle passing through the points (0,0),(0,3),(4,0) ...

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  7. If a square of side 10 is inscribed in a circle then radius of the cir...

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  8. If the lines lx+2y +3=0 and 2y+mx+4=0 cut the co-ordinate axes in conc...

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  9. If the lines 2x-3y+7=0, 3x+ky+5=0 cut the coordinate axes in concyclie...

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  10. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

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  11. If the points (3,0),(0,4),(0,0) and (k,4) are concylic then k=

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  12. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

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  13. ABCD is a rectangle wih sides AB=p, BC=q,. If AB and AD are taken nega...

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  14. Find the equation of the circle passing through the points (3,4) (...

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  15. The sides of a square are x=4, x=7, y=1, y=4. Then the equation of th...

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  16. The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

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  17. If the 4 points made by intersection of lines 2x-y+1=0, x-2y+3=0 with ...

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  18. The lines 2x-5y+1=0 and 10x-4y-3=0 meets the coordinate axes in concyl...

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  19. The power of (2,1) with respect to the circle x^(2)+y^(2)+x=0 is

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  20. If the line passing through P=(8,3) meets the circle S-=x^(2)+y^(2)-8x...

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