Advertisements
Advertisements
प्रश्न
Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).
उत्तर
Let B = (x, y), M = (–1, 3), A = (3, –1)
∴ `-1 = (x + 3)/2`
`=>` x + 3 = –2
∴ x = –2 – 3 = –5
`3 = (y - 1)/2`
`=>` y – 1 = 6
∴ y = 6 + 1 = 7
∴ Co-ordinates of B are (–5, 7)
APPEARS IN
संबंधित प्रश्न
The mid-point of the line segment joining (2a, 4) and (–2, 2b) is (1, 2a + 1). Find the values of a and b.
Complete the table below the graph with the help of the following graph.
Sr. No. | First point | Second point | Co-ordinates of first point (x1 , y1) | Co-ordinates of second point (x2 , y2) | `(y_2 - y_2)/(x_2 - x_2)` |
1 | C | E | (1, 0) | (3,4) | `4/2=2` |
2 | A | B | (-1,-4) | (0,-2) | `2/1 = 2` |
3 | B | D | (0,-2) | (2,2) | `4/2=2` |
Find the midpoint of the line segment joining the following pair of point :
(4,7) and (10,15)
If the midpoints of the sides ofa triangle are (-2, 3), (4, -3), (4, 5), find its vertices.
A triangle is formed by line segments joining the points (5, 1 ), (3, 4) and (1, 1). Find the coordinates of the centroid.
Let A(-a, 0), B(0, a) and C(α , β) be the vertices of the L1 ABC and G be its centroid . Prove that
GA2 + GB2 + GC2 = `1/3` (AB2 + BC2 + CA2)
O(0, 0) is the centre of a circle whose one chord is AB, where the points A and B are (8, 6) and (10, 0) respectively. OD is the perpendicular from the centre to the chord AB. Find the coordinates of the mid-point of OD.
The points A(−3, 6), B(0, 7) and C(1, 9) are the mid-points of the sides DE, EF and FD of a triangle DEF. Show that the quadrilateral ABCD is a parallelogram.
Find coordinates of midpoint of the segment joining points (0, 2) and (12, 14)
Point M (2, b) is the mid-point of the line segment joining points P (a, 7) and Q (6, 5). Find the values of ‘a’ and ‘b’.