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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. Show that the equation of the circle with AB as diameter is `x^(2)+y^(2)-x-y=0`.

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AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameter of a circle of ...

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  2. Show that the equation of the circle which pass through the points (1,...

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

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  4. If the points (2,0)(3,2)(5,4) and (t,0) are concylic, show that t=2 or...

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  5. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

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  6. If (2,4) is an interior point to the circle x^(2)+y^(2)-6x-10y+lamda=0...

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  7. Show that the number of tangents that can be drawn from the point (5/2...

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  8. Show that the equations of the tangents drawn from the origin to the c...

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  9. The locus of the centre of a circle which touches externally the circl...

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  10. If the angle between the tangents drawn from P to the circle x^(2)+y^(...

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  11. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets ...

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  12. If the straight line y=mx is outside the circle x^(2)+y^(2)-20y+90=0, ...

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  13. If (-4,3) and (12, -1) are the ends of diameter of a circle which make...

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  14. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

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  15. Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle ...

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  16. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

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  17. The area of the quadrilateral formed by the tangents from the point (4...

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  18. The extremities of a diameter of a circle have coordinates A(-4,3) and...

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  19. Show that the equation of the circles touching the Y-axis at (0,3) and...

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  20. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

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