Home
Class 12
MATHS
The vertices of a triangle an A(1,2), B(...

The vertices of a triangle an `A(1,2), B(-1,3)` and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio.
Statement I : The centroid of triangle DEF is (1, 3).
Statement II : The triangle ABC and DEF have the same centroid.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The vertices of a triangle are A(1,1,2), B (4,3,1) and C (2,3,5). The vector representing internal bisector of the angle A is

Two vertices of a triangle are (-1, 4) and (5, 2). If its centroid is (0, -3), find the third vertex.

If A=(1, 2, 3), B=(4, 5, 6), C=(7, 8, 9) and D, E, F are the mid points of the triangle ABC, then find the centroid of the triangle DEF.

Find the coordinates of centroid of the triangle with vertices: -1, 3), (6, -3) and (-3, 6)

Find the coordinates of centroid of the triangle with vertices: (1, -1), (0, 6) and (-3, 0)

State the coordinates of the centroid of the triangle with vertices at (5,18), (4,3), and (3,-3).

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

Find the area of the triangle with vertices A(3,-1,2),B(1,-1,-3) and C(4,-3,1) .

The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, -5, 7) and (-1, 7, -6), respectively, find the coordinates of the point C.

Find the centroid and incentre of the triangle whose vertices are (1, 2), (2, 3) and (3, 4).