Advertisements
Advertisements
प्रश्न
The mid point of the line segment joining the points (p, 2) and (3, 6) is (2, q). Find the numerical values of a and b.
उत्तर
AC : CB = 1 : 1
Coordinates of C are ,
C (2 , q) = C `(("p" + 3)/2 , (2 + 6)/2)`
`2 = ("p" + 3)/2` , q = 4
4 = p + 3 , q = 4
p = 1 , q = 4
the values of p and q are 1 and 4 respectively.
APPEARS IN
संबंधित प्रश्न
Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).
In the following example find the co-ordinate of point A which divides segment PQ in the ratio a : b.
P(–3, 7), Q(1, –4), a : b = 2 : 1
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` |
If (-3, 2), (1, -2) and (5, 6) are the midpoints of the sides of a triangle, find the coordinates of the vertices of the triangle.
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.
A(3, 1), B(y, 4) and C(1, x) are vertices of a triangle ABC. P, Q and R are mid - points of sides BC, CA and AB respectively. Show that the centroid of ΔPQR is the same as the centroid ΔABC.
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.
A(−3, 2), B(3, 2) and C(−3, −2) are the vertices of the right triangle, right angled at A. Show that the mid-point of the hypotenuse is equidistant from the vertices
If (1, −2), (3, 6), (x, 10) and (3, 2) are the vertices of the parallelogram taken in order, then the value of x is
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.