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Question

Given the family of lines, a(3x + 4y + 6) + b(x + y + 2) = 0. The line of the family situated at the greatest distance from the point P (2, 3) has equation -

Options

A.4x + 3y + 8 = 0
B.5x + 3y + 10 = 0
C.5x + 3y + 10 = 0
D.none

Solution

   
L1    :    3x + 4y + 6 = 0
L    :    x + y + 2 = 0
Line situated at greatest distance from P(2, 3) is the line passing through point of intersection (Q) of the given lines and perpendicular to PQ.

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