A) \[y-a=0\] and \[4x-3y-3a=0\]
B) \[y-a=0\] and \[3x-4y+3a=0\]
C) \[y-a=0\] and \[4x-3y+3a=0\]
D) None of these
Correct Answer: C
Solution :
Equation of any line through \[(0,a)\]is \[y-a=m\text{ }(x-0)\] or \[mx-y+a=0\] ?..(i) If the length of perpendicular from (2a, 2a) to the line (i) is ?a?, then \[a=\pm \frac{m(2a)-2a+a}{\sqrt{{{m}^{2}}+1}}\Rightarrow m=0,\frac{4}{3}\]. Hence the required equations of lines are \[y-a=0\], \[4x-3y+3a=0\].
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