Question

The line meets the x-axis at A and y-axis at B and the line y = x at C such that the area of the DAOC is twice the area of DBOC. Then the coordinates of C are

• A. $\left( \frac { \mathrm { b } } { 3 } , \frac { \mathrm { b } } { 3 } \right)$
• B.
• C.
• D. None

Answer 1

Answer: (C)

Answer 2

Given D_AOC = 2 (D_BOC)

Ž $\frac { 1 } { 2 } ( \mathrm { OA } ) \left( \mathrm { x } _ { 1 } \right) = \frac { 2 \times 1 } { 2 } ( \mathrm { OB } ) \left( \mathrm { x } _ { 1 } \right)$

Ž

Equation of $\mathrm { AB } \Rightarrow \frac { \mathrm { x } } { \mathrm { a } } + \frac { \mathrm { y } } { \mathrm { b } } = 1$ ……(i)

…. (ii)

Ž Since point C lies on the line (ii)

Ž

Ž

Ž