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The number of common tangents that can b...

The number of common tangents that can be drawn to the circles `x^(2)+y^(2)-4x+6y+8=0, x^(2)+y^(2)-10x-6y+14=0`

A

touch internally

B

touch externally

C

intersecting at two points

D

are such that one completely lies outside the other

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Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1D(Angle Between Circles)
  1. The number of common tangents that can be drawn to the circles x^(2)+y...

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  2. Consider the circle x^(2)+(y-1)^(2)=9, (x-1)^(2)+y^(2)=25. They are su...

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  3. If the two circles (x-2)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-10x+2y+17...

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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. Let A and B be any two point on each of the circles x^(2) +y^(2) -8x ...

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  6. The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=r^(2) intersect each ...

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  7. If the two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0...

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  8. If the circles x^(2)+y^(2)-4x+6y+8=0, x^(2)+y^(2)-10x-6y+14=0 touch ea...

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  9. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

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  10. The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-1...

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  11. If the circle x^(2)+y^(2)+2ax+4ay-3a^(2)=0 and x^(2)+y^(2)-8ax-6ay+7a^...

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

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

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

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

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

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

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

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

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

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