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Question

# Find the equation of the circle circumscribing the triangle formed by the lines L1 = 0, L2 = 0 and L3 = 0

A

L1 + λL2 + μL3 = 0

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B

L1L2 + λL2L3 + μL3L1 = 0

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C

L1L2L3 = 0

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D

L21+λL22+μL23=0

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Solution

## The correct option is B L1L2 + λL2L3 + μL3L1 = 0 Family of circles circumscribing a triangle whose sides are L1 = 0, L2 = 0 and L3 = 0 is L1L2 + λL2L3 + μL3L1 = 0- - - - - - (1) It is the definition of family of circle & circumscribing a triangle. Equation (1) is a equation of circle so, it should follow following conditions (1) coefficient of xy = 0 (2) coefficient of x2 =coefficient of y2 Option B is correct

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