Point P is the midpoint of segment AB. Co-ordinates of point

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Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and that of point A are (11,5). The co-ordinates of point B are

Co-ordinates of the mid-point of line segment

=		x₁ + x₂	;		y₁ + y₂
		2			2

∴	11 + x	= 2 ⇒ 11 + x = 4
	2

⇒ x = 4 – 11 = – 7

and	5 + y	= 1
	2

⇒ y + 5 = 2
⇒ y = 2 – 5 = – 3
∴ Co-ordinates of B
⇒ (–7, –(3)