Question

If the line y = $\sqrt { 3 }$ x cuts the curve x³ + y³ + 3xy + 5x² + 3y² + 4x + 5y – 1 = 0 at the points A, B, C, then OA · OB · OC is equal to-

• A. $\frac { 4 } { 13 }$ (3$\sqrt { 3 }$ – 1)
• B. $\frac { 4 } { 3 \sqrt { 3 } + 1 }$
• C. 2 +$\frac { 1 } { \sqrt { 3 } }$
• D. $3 \sqrt { 3 }$+ $\frac { 1 } { 2 }$

Answer 1

Answer: (A)

$\frac { 4 } { 13 }$ (3$\sqrt { 3 }$ – 1)

Answer 2

_