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Question

A(2,3),B(3,1),and C(5,3) are three points,then the slope of the line passing through A and bisecting BC is -

A
12
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B
2
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C
12
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D
2
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Solution

The correct option is D 2
A(2,3)B(3,1)C(5,3)
Mid point of BC(3+52,1+32)
x(4,2)
Equation of the line passing through A(2,3) and x(4,2)
y3=2342(x2)
2y6=x2
x2y+4=0
Slope ba=(2)1=2.

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