Two vertices of a ΔABC are A(-1, 4) and B(5, 2) and its centroid is (0, -3). The coordinates of C are :
(4, 3)
(4, 15)
(-4, -15)
(-15, -4)
Section Formula
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Question

Two vertices of a ΔABC are A(-1, 4) and B(5, 2) and its centroid is (0, -3). The coordinates of C are : 1. (4, 3) 2. (4, 15) 3. (-4, -15) 4. (-15, -4)

KnowledgeBoat · Accepted Answer

Let the coordinates of C be (x, y). By centroid formula, Centroid = Given, G(0, -3) is the centroid of the triangle. Substituting values we get : C = (x, y) = (-4, -15). Hence, Option 3 is the correct option.

Mathematics

Two vertices of a ΔABC are A(-1, 4) and B(5, 2) and its centroid is (0, -3). The coordinates of C are :
(4, 3)
(4, 15)
(-4, -15)
(-15, -4)

Section Formula

Related Questions

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is:
(2, 2)
(2, 3)
(3, 3)
(0, -1)

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:
(3, -2)
(3, -4)
(-3, -4)
(-3, 4)

Mathematics

Two vertices of a ΔABC are A(-1, 4) and B(5, 2) and its centroid is (0, -3). The coordinates of C are :(4, 3)(4, 15)(-4, -15)(-15, -4)

Section Formula

Related Questions

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is:(2, 2)(2, 3)(3, 3)(0, -1)

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:(3, -2)(3, -4)(-3, -4)(-3, 4)

Two vertices of a ΔABC are A(-1, 4) and B(5, 2) and its centroid is (0, -3). The coordinates of C are :
(4, 3)
(4, 15)
(-4, -15)
(-15, -4)

The coordinates of the vertices of ΔABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of ΔABC is:
(2, 2)
(2, 3)
(3, 3)
(0, -1)

If the line segment joining the points P and Q(3, -4) is bisected at the origin, then the coordinates of P are:
(3, -2)
(3, -4)
(-3, -4)
(-3, 4)