Home
Class 12
MATHS
In triangle ABC, bar(AD) is median. If A...

In triangle ABC, `bar(AD)` is median. If A = (1, 1) and D = (1, -5), then the centroid of the triangle is

A

(1, -3)

B

(-1, -3)

C

(-1, 3)

D

(1, 3)

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 83|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 84|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 81|1 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

Similar Questions

Explore conceptually related problems

If a vertex of a triangle is (1, 1) and the midpoints of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is

The centroid of a triangle is (2, 3) and two of its vertices are (5, 6) and (-1, 4). The third vertex of the triangle is

Knowledge Check

  • If the axes are translated to the circumcenter of the triangle formed by (9,3), (-1,7), (-1,3), then the centroid of the triangle in the new system is

    A
    `(5,5//3)`
    B
    (4,3)
    C
    `(-5//3,-2//3)`
    D
    (0,0)

  • A : If the midpoints of the sides of a triangle are (1, 0), (0, 1), (1, 1) then the centroid is (2//3, 1) . R : Centroid of the triangle is same as centroid of triangle formed by their midpoints.

    A
    both A and R are true and R is the correct explanation of A
    B
    both A and R are true and R is not the correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • In triangle ABC, base BC and area of triangle D are fixed. Locus of the centroid of triangle ABC is a striaght line is

    A
    parallel to side BC
    B
    right bisector of side BC
    C
    right angle of BC
    D
    inclined at an angle `sin^(-1)(( sqrt(Delta))/(BC))` to side BC

    • Similar Questions

    Explore conceptually related problems

    Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of the triangle is the origin, then the third vertex is

    In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = pi//8 " and " angle ACE = pi//4 , then the area of the triangle ABC is equal to

    In triangle ABC , DE||BC and (AD)/(DB) = 3/5 . If AE = 2.1cm, then find AC.

    In triangle ABC , DE||BC and AD = 1/3 BD . If BC = 4.5cm, Find DE.

    If (1,0,3) ,(2,1,5),(-2,3,6) are the midpoints of the sides of a triangle , then the centroid of the triangle is

    Home
    Profile