A) \[3x-4y-6=0\] and \[4x+3y+1=0\]
B) \[3x-4y+6=0\] and \[4x-3y-1=0\]
C) \[3x-4y+6=0\] and \[4x-3y+1=0\]
D) None of these
Correct Answer: C
Solution :
Point of intersection is (2, 3). Therefore, the equation of line passing through (2, 3) is \[y-3=m\,(x-2)\] ??(i) or \[mx-y-(2m-3)=0\]. According to the condition, \[\frac{3m-2-(2m-3)}{\sqrt{1+{{m}^{2}}}}=\frac{7}{5}\Rightarrow m=\frac{3}{4},\frac{4}{3}\] Hence the equations are \[3x-4y+6=0\] and \[4x-3y+1=0\].You need to login to perform this action.
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