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Two circles C1 and C2 have centres as O1 and O2 respectively, and the

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Two circles C1 and C2 have centres as O1 and O2 respectively, and the  [#permalink]

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New post 08 Jan 2019, 22:53
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Two circles C1 and C2 have centres as O1 and O2 respectively, and the lengths of their radii as r1 and r2 respectively. Do C1 and C2 touch each other at exactly one point?

(1) r1 > r2

(2) Distance between O1 & O2 = r1 + r2
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Two circles C1 and C2 have centres as O1 and O2 respectively, and the  [#permalink]

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New post Updated on: 09 Jan 2019, 00:08
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1) One can not establish anything as two circles can exist anywhere on the plane.
2) Makes sense, circles will definitely touch each other as sum of the length of the radiis is equal to the distance between the centre of two circles.

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Originally posted by gauravtewary72 on 08 Jan 2019, 23:28.
Last edited by gauravtewary72 on 09 Jan 2019, 00:08, edited 1 time in total.
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Re: Two circles C1 and C2 have centres as O1 and O2 respectively, and the  [#permalink]

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New post 09 Jan 2019, 00:05
Imo B

Circle will touch at one point

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Re: Two circles C1 and C2 have centres as O1 and O2 respectively, and the  [#permalink]

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New post 09 Jan 2019, 06:14
amanvermagmat wrote:
Two circles C1 and C2 have centres as O1 and O2 respectively, and the lengths of their radii as r1 and r2 respectively. Do C1 and C2 touch each other at exactly one point?

(1) r1 > r2

(2) Distance between O1 & O2 = r1 + r2



#1:
no info in sufficienet

# 2:
distance b/w centers = radius sum ; means both radius are same ..
so circle would touch each other

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Re: Two circles C1 and C2 have centres as O1 and O2 respectively, and the  [#permalink]

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New post 09 Jan 2019, 07:44
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Statement 1 - the circles can lie anywhere. They may or may not touch each other at all.

Statement 2 - the distance between 2 circles, if, is equal to the sum of the radii, then the circles touch each other at 1 point.
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Re: Two circles C1 and C2 have centres as O1 and O2 respectively, and the   [#permalink] 09 Jan 2019, 07:44
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Two circles C1 and C2 have centres as O1 and O2 respectively, and the

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