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If the circles (x-a)^(2)+(y-b)^(2)=r^(2)...

If the circles `(x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2)` touch each other then the point of contact is

A

`alpha^(2)+beta^(2)=r^(2)`

B

`alpha^(2)+beta^(2)=2r^(2)`

C

`(alpha^(2)+beta^(2))=2r^(2)`

D

`(alpha^(2)+beta^(2))=r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1D(Angle Between Circles)
  1. If the circle x^(2)+y^(2)+2ax+4ay-3a^(2)=0 and x^(2)+y^(2)-8ax-6ay+7a^...

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  2. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

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  3. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

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  4. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

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  5. The condition that the circles x^(2)+y^(2)+2ax+2by+c=0, x^(2)+y^(2)+2b...

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  6. The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each ...

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  7. The equation of the circle with centre (-1,1) and touch the circle x^(...

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  8. The equation of the circle radius is 5 and which touches the circle x^...

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  9. The equation to the circle whose radius is 3 and which touches interna...

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  10. The equation of the circle whose radius is 3 and which touches the cir...

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

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  12. The locus of the centre of a circle which touches the line x cos alpha...

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

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

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

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  16. The centres of those circles which touch the circle, x^(2)+y^(2)-8x-8y...

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  17. A circle touches the x-axis and also touches the circle with centre at...

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  18. Let C be the circle with centr at (1,1) and radius =1. If T is the cir...

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  19. The circels whose equations are x^(2)+y^(2)+10x-2y+22=0 and x^(2)+y^(2...

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  20. The number of common tangent to the circles x^(2)+y^(2)+2x+8y-23=0, x^...

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