Mathematics - Point Question with Solution | TestHub

MathematicsPointLocusEasy2 minPYQ_2020

MathematicsEasysingle choice

A straight rod of length 9 units slides with its endsA, $B$ always on the $X$ and Y-axis respectively. Then the locus of the centroid of $Δ OAB$ is:

Options:

Answer:

Solution:

Let end $A$ is $(a, 0)$ and end $B$ is $(0,$ b) then $a^{2} + b^{2} = 81$ If centroid is $(x, y)$ then $x = \frac{a}{3}, y = \frac{b}{3},$ putting in (1) we get the locus as $x^{2} + y^{2} = 9$

Stream:BITSATSubject:MathematicsTopic:PointSubtopic:Locus

⏱ 2mℹ️ Source: PYQ_2020

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