NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 23
Total: 74
The vertices of ΔPQR are P(2, 1), Q(–2, 3) and R(4, 5). Find equation of the median through the vertex R.
Solution:  
The vertices of ΔPQR are P(2, 1), Q(–2, 3) and R(4, 5).
Let S be the midpoint of PQ.
So, S = (
2+2
2
,
3+1
2
)
= (0, 2)

Equation of median RS is
y5
x4
=
25
04

y5
x4
=
3
4
⇒ 4y - 20 = 3x - 12
⇒ 3x – 4y + 8 = 0 is the required equation.
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