jee-main 2021 Q63

jee-main · India · session2_16mar_shift2 Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry

Let $A ( - 1,1 ) , B ( 3,4 )$ and $C ( 2,0 )$ be given three points. A line $y = m x , m > 0$, intersects lines $AC$ and $BC$ at point $P$ and $Q$ respectively. Let $A _ { 1 }$ and $A _ { 2 }$ be the areas of $\triangle ABC$ and $\triangle PQC$ respectively, such that $A _ { 1 } = 3 A _ { 2 }$, then the value of $m$ is equal to :
(1) $\frac { 4 } { 15 }$
(2) 1
(3) 2
(4) 3

Let $A ( - 1,1 ) , B ( 3,4 )$ and $C ( 2,0 )$ be given three points. A line $y = m x , m > 0$, intersects lines $AC$ and $BC$ at point $P$ and $Q$ respectively. Let $A _ { 1 }$ and $A _ { 2 }$ be the areas of $\triangle ABC$ and $\triangle PQC$ respectively, such that $A _ { 1 } = 3 A _ { 2 }$, then the value of $m$ is equal to :\\
(1) $\frac { 4 } { 15 }$\\
(2) 1\\
(3) 2\\
(4) 3

Paper Questions

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