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The image of the circle x^(2)+y^(2)-2 x...

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

A

`x^(2)+y^(2)+2 x=0`

B

`x^(2)+y^(2)-4 x-2 y-4=0`

C

`x^(2)+y^(2)-2 y=0`

D

`x^(2)+y^(2)-4 x-2 y+4=0`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  2. The abscissa of two points A and B are the roots of x^(2)-4 x+2=0 and ...

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  3. The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the c...

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  4. The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 interce...

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  5. Image of the circle x^(2)+y^(2)+16 x+18 y+85=0 in the y -axis is

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  6. The equation of a circle with origin as centre and passing through the...

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  7. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

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  8. The equation to the circle with centre (2, 1) and touching the line 3x...

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  9. The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the po...

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  10. The equation of a circle is x^(2)+y^(2)=25. The equation of its chord...

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  11. The equation of the chord of the circle x^2 + y^2 - 4x = 0, whose mid-...

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  12. The value of k for which the circles x^2 + y^2 - 3x + ky - 5 = 0 and 4...

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  13. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

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  14. The locus of the centre of the circle in which the chord joining the ...

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  15. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

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  16. Locus of a moving point such that tangents from it to the two circles ...

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  17. Angle between a pair of tangents drawn from a point P to the circle x^...

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  18. The condition that the line (x + g) cos theta + ( y +f ) sin theta = ...

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  19. The chord of contact of tangents drawn from any point on the circle x^...

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  20. The chord of contact of tangents drawn from any point on the circle x^...

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