A) \[4x-3y=24\]
B) \[4x+3y=24\]
C) \[3x-4y=24\]
D) \[3x+4y=24\]
Correct Answer: B
Solution :
Given \[a+b=14\Rightarrow a=14-b\] Hence the equation of straight line is \[\frac{x}{14-b}+\frac{y}{b}=1\]. Also, it passes through \[(3,4)\] \[\therefore \] \[\frac{3}{14-b}+\frac{4}{b}=1\Rightarrow b=8\]or 7 Therefore equations are \[4x+3y=24\]and\[x+y=7\]. Trick: This question can be checked with the options as the line \[4x+3y=24\]passes through (3, 4) and also cuts the intercepts from the axes whose sum is 14.You need to login to perform this action.
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