Q. 94.1( 67 Votes )
The vertices of PQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
Given vertices of ΔPQR i.e. P (2, 1), Q (-2, 3) and R (4, 5)
Let RL be the median of vertex R.
So, L is a midpoint of PQ.
We know that the midpoint formula is given by .
∴ L = = (0, 2)
We know that the equation of the line passing through the points (x1, y1) and (x2, y2) is given by
⇒ (-4) (y – 5) = (-3) (x – 4)
⇒ -4y + 20 = -3x + 12
⇒ -4y + 20 + 3x – 12 = 0
⇒ 3x – 4y + 8 = 0
Ans. The equation of median through the vertex R is 3x – 4y + 8 = 0.
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