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Q.

If the intercepts cut off on the coordinate axes by the line ax+by+8=0 are equal in length  but opposite in signs to those cut off by the line 2x−3y+6=0 on the co ordinate axes  respectively then 25a+b=

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answer is 0062.67.

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Detailed Solution

−8a=-3,−8b=2⇒a=83,b=-425a+b=2003-4=200-123=1883=62.67
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If the intercepts cut off on the coordinate axes by the line ax+by+8=0 are equal in length  but opposite in signs to those cut off by the line 2x−3y+6=0 on the co ordinate axes  respectively then 25a+b=