Three circles of radii a ,   b ,   c ,   a < b < c touch each other externally. If they have x - axis as a common tangent, then:

Question

Three circles of radii a , &#160; b , &#160; c , &#160; a &#60; b &#60; c touch each other externally. If they have x - axis as a common tangent, then:

Aicharya · Accepted Answer

We have, L M = P N = a + b 2 - b - a 2 = 2 a b N Q = M S = a + c 2 - c - a 2 = 2 a c P Q = S T = b + c 2 - c - b 2 = 2 b c &#8757; P Q = P N + N Q &#8658; 2 b c = 2 a b + 2 a c &#8658; 1 a = 1 b + 1 c

Three circles of radii a ,   b ,   c ,   a < b < c touch each other externally. If…

Solution

Three circles of radii a , &#160; b , &#160; c , &#160; a &#60; b &#60; c touch each other externally. If…

Solution

Three circles of radii a , b , c , a < b < c touch each other externally. If…