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
(–5, 2), (3, −6) and (7, 4) are the vertices of a triangle. Find the length of its median through the vertex (3, −6).
Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Find the co-ordinates of A and D.
M is the mid-point of the line segment joining the points A(–3, 7) and B(9, –1). Find the coordinates of point M. Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p : q, find the ratio p : q.
The coordinates of the centroid I of triangle PQR are (2, 5). If Q = (-6, 5) and R = (7, 8). Calculate the coordinates of vertex P.
ABC is a triangle whose vertices are A(-4, 2), B(O, 2) and C(-2, -4). D. E and Fare the midpoint of the sides BC, CA and AB respectively. Prove that the centroid of the Δ ABC coincides with the centroid of the Δ DEF.
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.
If the mid-point (x, y) of the line joining (3, 4) and (p, 7) lies on 2x + 2y + 1 = 0, then what will be the value of p?
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
The coordinates of diameter AB of a circle are A(2, 7) and B(4, 5), then find the coordinates of the centre
