Analytical Geometry> 2 circle of radii 2 and 3 cm touch each o...

2 circle of radii 2 and 3 cm touch each other externally. The length of direct common tangent to Tue two circles will be

Harsh , 7 Years ago

Grade 9

1 Answers

Vikas TU

Last Activity: 7 Years ago

Dear Student,

let centres of circles be A and B . AB = 5

Extend AB to C to intersect direct common tangent PQ at C

By similar triangles CQB and CPA,

BC/(BC+5) = 2/3

BC = 10

Similarly, QC/(QC+PQ) = 2/3

We know that QC = √96 by applying Pythagoras th in triangle BQC

Therefore length of Direct common tangent PQ = 2√6 .

Cheers!!

Regards,

Vikas (B. Tech. 4^th year
Thapar University)

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Analytical Geometry> 2 circle of radii 2 and 3 cm touch each o...

2 circle of radii 2 and 3 cm touch each other externally. The length of direct common tangent to Tue two circles will be

Harsh , 7 Years ago

Vikas TU

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