Home
Class 10
MATHS
A(4,\ 2),\ B(6,5) and C(1,\ 4) are the ...

`A(4,\ 2),\ B(6,5)` and `C(1,\ 4)` are the vertices of ` A B C` . Find the coordinates of the points `Q` and `R` on medians `B E` and `C F` respectively such that `B Q : Q E=2:1` and `C R : R F=2:1` . What do you observe?

Promotional Banner

Similar Questions

Explore conceptually related problems

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. Find the coordinates of the points Q and R on medians BE and CF respectively such that BQ:QE=2:1 and CR:RF=2:1. What do you observe?

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

Let A(4,2),B(6,5) and C(1,4) be the vertices of triangleABC .(iii)Find the coordinates of points Q and R on medians BE and CF respectively such that BQ:QE=2:1 and CR:RF=2:1.

Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of Delta A B C . (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1. (iv) What do you observe? (v) If A(x_(1),y_(1)), B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of ∆ ABC, find the coordinates of the centroid of the triangle.

7. Let A (4, 2) B(6.,5) and C(1.,4). be the vertices of DeltaABC. (1) The median from A meets BC at D. Find the coordinates of the point D. (2) the coordinates of the point P on AD such that AP: PD= 2:1. (3) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ: QE = 2 :1 and CR :RF =2: 1. (4) what do yo observe?

In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R respectively such that A B P Q and B C Q R . Show that A C P R . (FIGURE)

If P(1,\ 2),\ \ Q(1,\ 0) and R(0,\ 1) are the mid-points of the sides A B ,\ B C and A C respectively of A B C , find the coordinates of the vertices A ,\ B and C , and hence find the area of A B C .

If P(1,\ 2),\ \ Q(1,\ 0) and R(0,\ 1) are the mid-points of the sides A B ,\ B C and A C respectively of A B C , find the coordinates of the vertices A ,\ B and C , and hence find the area of A B C .