If A(-2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD
Coordinate Geometry (10)If A(-2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides.
Answer
ABCD is a parallelogram. Therefore, diagonals AC and BD bisect each other.
Therefore, mid point of BD is same as mid point of AC.
Exam Year:
2018
Related Questions
- 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 distance of a point P(x, y) from the origin
- If A(-5, 7), B(-4, -5), C(-1, -6) and D(4, 5) are the vertices of a quadrilateral
- Write the coordinates of a point P on x-axis which is equidistant
- Find a relation between x and y if the points A(x, y), B(-4, 6) and C(-2, 3) are collinear
- If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices