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The intercept on the line y=x by the cir...

The intercept on the line y=x by the circle `x^(2)+y^(2)-2x=0` is AB. Equation of the circle on AB as a diameter is

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`x^(2)+y^(2) -x-y = 0`
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The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equation of the circle with AB as a diameter is (A) (x-1/2)^3+(y-1/2)^2=1/2 (B) (x-1/2)^2+(y-1/2)^2=1/4 (C) (x+1/2)^2+(y+1/2)^2=1/2 (D) (x+1/2)^2+(y+1/2)^2=1/4

The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Show that the equation of the circle with AB as diameter is x^(2)+y^(2)-x-y=0 .

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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  2. about to only mathematics

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  3. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Eq...

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  4. about to only mathematics

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  5. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

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  6. about to only mathematics

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  7. Consider a family of circle passing thorugh two fixed points A(3,7) an...

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  8. about to only mathematics

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  9. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

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  10. about to only mathematics

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  11. Find the equations of the circles passing through the point (-4,3) and...

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  12. Find the equation of a circle which passes through the point (2,0) ...

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  13. The locus of the mid-point of the chord of contact of tangents drawn f...

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  14. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  15. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  16. The equation of the tangents drawn from the origin to the circle x^(2)...

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  17. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  18. The chords of contact of the pair of tangents drawn from each point on...

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  19. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

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  20. Find the area of the triangle formed by the tangents from the point (4...

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