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Geometry

Expert replies
by harsh.champ » Fri Feb 19, 2010 8:03 am
A and B are equidistant from the line l. How many circles can be drawn with their centres on line l and that pass through both A and B?

A. 1
B. 2
C. 3
D. 4
E. >10
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Source: — Problem Solving |

by Mom4MBA » Fri Feb 19, 2010 9:02 am
answer >10, it can be any number of circles because the center of circle can be anywhere on the line L, center in not the intersection of line L and line AB had it been the case the solution would have been 1
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by shashank.ism » Fri Feb 19, 2010 10:10 am
harsh.champ wrote:A and B are equidistant from the line l. How many circles can be drawn with their centres on line l and that pass through both A and B?

A. 1
B. 2
C. 3
D. 4
E. >10
since centre lies on line l i.e. l is the locus of radius .so taking it as diameter of the various circle you will find you can draw infinite no. of circles with centre on line l and chord as AB. though u will get only one circle ehre this chord Ab will be diamete.

So ans E
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