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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesPosition of a pointMedium2 minQB

MathematicsMediumsingle choice

A straight rod of length $3 l$ units slides with its ends $A, B$ always on the $x$ and $y$ axes respectively then the locus of centroid of $△ O A B$ is

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Answer:

Solution:

Let $OA = a, OB = b, AB = 3 l . A = (a, 0), B = (0, b)$ . Let $G (x, y) = (\frac{a}{3}, \frac{b}{3})$ , so $a = 3 x, b = 3 y$ . $a^{2} + b^{2} = 9 l^{2} \Rightarrow x^{2} + y^{2} = l^{2}$ .

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

⏱ 2mℹ️ Source: QB

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