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BITSAT 2020

Exam: BITSAT
Year: 2020
Subject: Mathematics
Chapter: Straight Lines

BITSAT 2020 · Mathematics · Straight Lines

A straight rod of length 9 units slides with its endsA, B always on...

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

\Delta \mathrm{OAB}

is:

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

Options

A $x^{2}+y^{2}=3$
B $x^{2}+y^{2}=9$
C $x^{2}+y^{2}=1$
D $x^{2}+y^{2}=81$

Correct answer

B. $x^{2}+y^{2}=9$

Step-by-step solution

Let end

A

is

(a, 0)

and end

\mathrm{B}

is

(0,

b)

then \mathrma^{2}+\mathrmb^{2}=81

If centroid is

(x, y)

then

\mathrm{x}=\frac{\mathrm{a}}{3}, \mathrm{y}=\frac{\mathrm{b}}{3},

putting in (1) we get the locus as

x^{2}+y^{2}=9

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

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