AP ICET 2017 Shift 2 Paper

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Question : 140 of 200

Marks: +1, -0

The length of the median of A ABC through B. if the vertices A, B and C are respectively at

(4,2).(6,5)

and

(1,4)

is

$√65$
$1/2√65$
$1/3√65$
$1/4√65$

Solution:

D=({4+1}/2,{2+4}/2)=(5/2,3)

∴ BD

=√{(6-{5}/{2})^{2}+(5-3)^{2}}=√{({7}/{2})^{2}+2^{2}}

=√{{49}/{4}+4}={1}/{2}√{65}

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