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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesPosition of a pointMedium2 minQB

MathematicsMediumsingle choice

Let $P (1, 1), Q (2, 4), R (α, β)$ be the vertices of the triangle PQR . The point $S (2, 2)$ inside the triangle PQR is such that Area $(△ PQS) =$ Area $(△ PSR) =$ Area $(△ RSQ)$ , then $(α, β) =$

Options:

Answer:

Solution:

Here S must be centroid of $△ PQR \Rightarrow \frac{1 + 2 + α}{3} = 2& \frac{1 + 4 + β}{3} = 2 \Rightarrow α = 3& β = 1$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Position of a point

⏱ 2mℹ️ Source: QB

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