Mathematics - Point Question with Solution | TestHub

MathematicsPointLocusMedium2 minPYQ_2005

MathematicsMediumsingle choice

If a vertex of a triangle is $(1, 1)$ and the mid-points of two sides through this vertex are $(- 1, 2)$ and $(3, 2)$ , then the centroid of the triangle is

Options:

Answer:

Solution:

Vertex of triangle is $(1, 1)$ and midpoint of sides through this vertex is $(- 1, 2)$ and $(3, 2)$ $\Rightarrow$ vertex $B$ and $C$ come out to be $(- 3, 3)$ and $(5, 3)$ $∴$ centroid is $\frac{1 - 3 + 5}{3}, \frac{1 + 3 + 3}{3}$ $\Rightarrow (1, 7/3)$

Stream:JEESubject:MathematicsTopic:PointSubtopic:Locus

⏱ 2mℹ️ Source: PYQ_2005

Doubts & Discussion

Loading discussions...