Find the midpoint of segment joining (3, 4) and (7, 8).
(5, 6)
Midpoint formula: \(\left(\dfrac{{x_1+x_2}}{{2}},\ \dfrac{{y_1+y_2}}{{2}}\right)\)
\(= \left(\dfrac{{3+7}}{{2}},\ \dfrac{{4+8}}{{2}}\right) = \left(5,\ 6\right)\)
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Important Questions from Coordinate Geometry
Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).
- If x² + y² - 16x + 38y + 425 = 0, then the value of x² + y² is:
- If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
- A geological survey team has established three research stations forming a triangular monitoring zone. The stations are located at coordinates P(2,5), Q(8,1), and R(4,9) on a coordinate grid where each unit represents 1 kilometer. What is the area of the triangular monitoring zone?
- \(A(1, 2)\), \(B(a, -26)\), \(C(13, -14)\) and \(D(6, 14)\) are the vertices of a parallelogram, taken in order, find the value of \(a\).
