jee-main 2023 Q70

jee-main · India · session1_29jan_shift1 Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry

Let $B$ and $C$ be the two points on the line $y + x = 0$ such that $B$ and $C$ are symmetric with respect to the origin. Suppose $A$ is a point on $\mathrm { y } - 2 \mathrm { x } = 2$ such that $\triangle A B C$ is an equilateral triangle. Then, the area of the $\triangle A B C$ is
(1) $3 \sqrt { 3 }$
(2) $2 \sqrt { 3 }$
(3) $\frac { 8 } { \sqrt { 3 } }$
(4) $\frac { 10 } { \sqrt { 3 } }$

Let $B$ and $C$ be the two points on the line $y + x = 0$ such that $B$ and $C$ are symmetric with respect to the origin. Suppose $A$ is a point on $\mathrm { y } - 2 \mathrm { x } = 2$ such that $\triangle A B C$ is an equilateral triangle. Then, the area of the $\triangle A B C$ is\\
(1) $3 \sqrt { 3 }$\\
(2) $2 \sqrt { 3 }$\\
(3) $\frac { 8 } { \sqrt { 3 } }$\\
(4) $\frac { 10 } { \sqrt { 3 } }$

Paper Questions

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