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Q.

The equation of the line passing through (6,6) and having intercepts whose sum is −1 is

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a

2x−3y+6=0

b

x−y+6=0

c

2x+3y−1=0

d

x−y−6=0

answer is A.

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Detailed Solution

Given a+b=−1 ∴a=−1−b∴  Eqn. to the line is x−1−b+yb=1but this is passing through∴6−1−b+6b=1⇒b=2,a=-3
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The equation of the line passing through (6,6) and having intercepts whose sum is −1 is