Advertisements
Advertisements
प्रश्न
Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid-point of AB is (2, 3). Find the values of x and y.
उत्तर
Mid-point of AB = (2, 3)
∴ `((3 + x)/2, (5 + y)/2) = (2, 3)`
`=> (3 + x)/2 = 2` and `(5 + y)/2 = 3`
`=>` 3 + x = 4 and 5 + y = 6
`=>` x = 1 and y = 1
APPEARS IN
संबंधित प्रश्न
Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Find the co-ordinates of A and D.
The points (2, -1), (-1, 4) and (-2, 2) are midpoints of the sides ofa triangle. Find its vertices.
Find the length of the median through the vertex A of triangle ABC whose vertices are A (7, -3), B(S, 3) and C(3, -1).
The coordinates of the end points of the diameter of a circle are (3, 1) and (7, 11). Find the coordinates of the centre of the circle.
As shown in the figure. two concentric circles are given and line AB is the tangent to the smaller circle at T. Shown that T is the midpoint of Seg AB
The centre ‘O’ of a circle has the coordinates (4, 5) and one point on the circumference is (8, 10). Find the coordinates of the other end of the diameter of the circle through this point.
Find the mid-point of the line segment joining the points
(a, b) and (a + 2b, 2a – b)
Point P is midpoint of segment AB where A(– 4, 2) and B(6, 2), then the coordinates of P are ______
Find the co-ordinates of centroid of a triangle if points D(–7, 6), E(8, 5) and F(2, –2) are the mid-points of the sides of that triangle.
ABC is a triangle whose vertices are A(1, –1), B(0, 4) and C(– 6, 4). D is the midpoint of BC. Find the coordinates of D.