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Show that the circle x^(2)+y^(2)-2ax-2ay...

Show that the circle `x^(2)+y^(2)-2ax-2ay+a^(2)=0` touches both the coordinate axes.

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A DAS GUPTA-Circles-EXERCISE
  1. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

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  2. If the cirles x^2+y^2=2 and x^2+y^2-4x-4y+lambda=0 have exactly three ...

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  3. Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coor...

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

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  5. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

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  6. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

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  7. The number of integral values of r for which the circle (x-1)^2+(y-3)...

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  8. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  9. If a circle passes through the point (a, b) and cuts the circle x^2 +y...

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  10. For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...

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  11. Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...

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  12. The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...

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  13. The radius of the circle passing through the point (6,2) and having x ...

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  14. A circle passes through point (3, sqrt(7/2)) and touches the line-pai...

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  15. The angle between a pair of tangents from a point P to the circe x^2 +...

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  16. Let AB be a line segment of length 4 with A on the line y = 2x and B o...

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

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  18. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

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  19. Find the equation of the circle which passes through the origin and...

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  20. The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

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