The centre of a circle is C(-2, 3) and one end of a diameter PQ is P(2, -4). Find the co-ordinates of Q.
Section Formula
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Question

The centre of a circle is C(-2, 3) and one end of a diameter PQ is P(2, -4). Find the co-ordinates of Q.

KnowledgeBoat · Accepted Answer

Since PQ is the diameter of the circle and C is the center, C must be the mid-point of the segment PQ. Let coordinates of Q be (x1, y1). By using mid-point formula, x-coordinate = Substituting values we get : By using mid-point formula, y-coordinate = Substituting values we get : Q = (x1, y1) = (-6, 10). Hence, coordinates of Q are (-6, 10).

Mathematics

The centre of a circle is C(-2, 3) and one end of a diameter PQ is P(2, -4). Find the co-ordinates of Q.

Section Formula

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