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
3 Likes

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

Related Questions

The mid-point of the line segment joining A(p, 5) and B(3, q) is M(-1, 4). Find the values of p and q.

The point P(-4, 1) divides the line segment joining the points A(2, -2) and B in the ratio 3 : 5. Find the co-ordinates of point B.

In what ratio does the point P(2, -5) divide the join of A(-3, 5) and B(4, -9)?