Latest TCS Aptitude Question SOLUTION: Two circles of radii 5 cm and 3 cm touch each other at P and also touch a line at Q and R.Length of QR is?

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Two circles of radii 5 cm and 3 cm touch each other at P and also touch a line at Q and R.Length of QR is?

Asked In TCS Ankit Bansal (10 years ago)

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Md Shahnawaz Shahab  (10 years ago)

ans: root(60)

QR is actually the perpendicular distance from the center of the smaller circle to the radius of bigger circle.
length of QR = root((3+5)^2 - (5-3)^2) = root(8^2 - 2^2) = root(64-4) = root(60)

Is this solution Helpfull? Yes (18) | No (13)  

Venkateswar  (10 years ago)

FOR POQ PQ=sqrt(5^2+5^2)=5root2
for 3root2
for triangle prq sqrt(18^2+50^2)=root68

Is this solution Helpfull? Yes (7) | No (3)  

sandeep gantait  (10 years ago)

According the question the two circle will just ouch each other at point P
and the line will be a common tangent touching the two circles at the point P and Q respectively
So, by drawing another line which would be formed by joining diameters of the two circle and intersecting the tangent at a point outside the two circle, touching the two circle at point A and B(line would be APB).

now we can easily use the tangent property which is QR^2=(5+5)x(3+3)=root(60)

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sashank  (9 years ago)

http://www.ilovemaths.com/2circle.asp

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juhe rawat  (10 years ago)

ans : 16 cm
two circle touch at point p and touch a line(q,r) passing trough the point p as its center....

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Mithun Kumar Kesari  (10 years ago)

4*root(3)

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