Mathematics - Point Question with Solution | TestHub

MathematicsPointLocusMedium2 minPYQ_2004

MathematicsMediumsingle choice

Let $A (2, - 3)$ and $B (- 2, 1)$ be vertices of a triangle $A BC$ . If the centroid of this triangle moves on the line $2 x + 3 y = 1$ , then the locus of the vertex $C$ is the line

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Answer:

Solution:

If $C$ be $(h, k)$ then centroid is $(h /3, (k - 2) /3)$ it lies on $2 x + 3 y = 1$ . $\Rightarrow$ locus is $2 x + 3 y = 9$

Stream:JEESubject:MathematicsTopic:PointSubtopic:Locus

⏱ 2mℹ️ Source: PYQ_2004

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