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Prove that the circles x^(2)+y^(2)+2ax+2...

Prove that the circles `x^(2)+y^(2)+2ax+2ax+2by=0 and x^(2)+y^(2)+2a_(1)x+2b_(1)y=0` touch each other if, `ab_(1),a_(1)b`.

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ARIHANT MATHS-CIRCLE -Exercise For Session 6
  1. The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^...

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  2. Find the number of common tangents that can be drawn to the circles...

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  3. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

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  4. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

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  5. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  6. Two circles of radii r(1) and r(2), r(1) gt r(2) ge2 touch each other ...

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  7. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  8. If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the...

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  9. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  10. The equation of the circle described on the common chord of the circle...

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  11. The equation of the diameter of the circle 3(x^(2)+y^(2))-2x+6x-9-0 wh...

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  12. consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 ...

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  13. Find the equation of the circle passing throught (1,1) and the points ...

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  14. Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2...

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  15. Prove that the circles x^(2)+y^(2)+2ax+2ax+2by=0 and x^(2)+y^(2)+2a(1)...

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  16. The point of intersection of common transverse tangents of two circles...

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