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Show that the circles x ^(2) + y ^(2) - ...

Show that the circles `x ^(2) + y ^(2) - 2x =0 and x ^(2) + y ^(2) - 8x + 12=0` touch each other externally. Find the point of contact.

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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Show that the circles x ^(2) + y ^(2) - 2x =0 and x ^(2) + y ^(2) - 8x...

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  2. The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(...

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  3. If a circle of area 16pi has two of its diameters along the line 2x -...

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  4. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

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  5. The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 wil...

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  6. If the point (2,k) lies outside the circles x^2+y^2+x+x-2y-14=0a n dx^...

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  7. The shortest distance between the circles x ^(2) + y ^(2) =1 and (x-9)...

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  8. Find the parametric equations of the circles x^(2)+y^(2)=16.

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  9. The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect th...

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  10. The equation of a circle of area 22pi square units for which each of t...

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  11. If a chord of a circle x ^(2) +y ^(2) =4 with one extermity at (1, sqr...

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  12. Consider L (1) : 3x + y + alpha -2 =0 and L (2) : 3 x + y -alpha + 3 =...

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  13. If a circle has two of its diameters along the lines x+y=5 and x-y=1 a...

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  14. The number of integer values of k for which the equation x^2 +y^2+(k-1...

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  15. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

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  16. The equation of a circle, which is mirror change of the circle x ^(2) ...

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  17. Two parallel chords are drawn on the same side of the centre of a circ...

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  18. Let C be the circle whose diameter is the line segment formed by the l...

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