The line\[\frac{x}{a}+\frac{y}{b}=1\]meets the x-axis at A, the y-axis at B, and the line y=x at C such that the area of \[\Delta AOC\]is twice the area of \[\Delta BOC\]. Then the coordinates of C are

\[\left( \frac{b}{3},\frac{b}{3} \right)\]

\[\left( \frac{2a}{3},\frac{2a}{3} \right)\]

\[\left( \frac{2b}{3},\frac{2b}{3} \right)\]

The line\[\frac{x}{a}+\frac{y}{b}=1\]meets the x-axis at A, the y-axis

1.	The line\[\frac{x}{a}+\frac{y}{b}=1\]meets the x-axis at A, the y-axis at B, and the line y=x at C such that the area of \[\Delta AOC\]is twice the area of \[\Delta BOC\]. Then the coordinates of C are
A.	\[\left( \frac{b}{3},\frac{b}{3} \right)\]
B.	\[\left( \frac{2a}{3},\frac{2a}{3} \right)\]
C.	\[\left( \frac{2b}{3},\frac{2b}{3} \right)\]
D.	none of these
Answer» D. none of these

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The line\[\frac{x}{a}+\frac{y}{b}=1\]meets the x-axis at A, the y-axis at B, and the line y=x at C such that the area of \[\Delta AOC\]is twice the area of \[\Delta BOC\]. Then the coordinates of C are

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