Two circles, each of radius 5, have a common tangent at (1, 1) whose equation is 3x + 4y - 7 = 0. Then their centres are

JEE Advanced Mathematics question

Two circles, each of radius 5, have a common tangent at whose equation is . Then their centres are

Answer: (C)

The centres lie on the normal to the tangent at , at distance on either side. The normal direction is , with unit vector

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Question ID VK-108900