If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices
Coordinate Geometry (10)If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices of a parallelogram ABCD, find the value of p.
Answer
Mid point of AC = Mid point of BD
$$ \therefore \left(\frac{2 + 6}{2}, \frac{3 + 7}{2}\right) = \left(\frac{-5 + p}{2}, \frac{6 + 4}{2}\right) $$
$$ \frac{-5 + p}{2} = 4 \Rightarrow p = 13 $$
- Exam Year: 2023
Related Questions
- Find the distance of a point P(x, y) from the origin
- Find the area of a triangle whose vertices are given as (1, -1) (-4, 6) and (-3, -5)
- A line intersects the y-axis and x-axis at the points P and Q respectively
- In what ratio does the point (24/11, y) divide the line segment joining the points P(2, - 2) and Q(3, 7)
- Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2 : 3
- Write the coordinates of a point P on x-axis which is equidistant