Home
Class 11
MATHS
A riangle ABC is placed so that the mid-...

A riangle ABC is placed so that the mid-point of the sides are on the x,y,z axes. Lengths of the intercepts made by the plane containing the triangle on these axes are respectively `alpha, beta, gamma`. Coordinates of the centroid of the triangle ABC are

A

`(-alpha//3, beta//3, gamma//3)`

B

`(alpha//3, -beta//3, gamma//3)`

C

`(alpha//3, -gamma//3)`

D

`(alpha//3, beta//3, gamma//3)`

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I) (Straight Objective Type Questions) (More than One correct answer Type Questions)|1 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I) (Straight Objective Type Questions) (Matrix Matching Type Questions)|1 Videos

  • 2D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|14 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

If the plane 56x+4y+9z=2016 meets the coordinate axes in A,B,C then the centroid of the triangle ABC is

A variable plane is at a constant distance 3p from the origin and meets the axes A, B and C. The locus of the centroid of the triangle ABC is

A variable plane is at a constant distance p from the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

A, B, C are projections oof P(5, -2, 6) on coordinate planes then find the centroid of triangle ABC.

The intercepts of the plane 2x - 3y + 4z = 12 on the coordinate axes are given by

Find the intercepts of the plane 4x+3y-2z+2=0 on the coordinate axes.

AAKASH SERIES-3D COORDINATE SYSTEM-ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Integer Type Questions)
  1. A riangle ABC is placed so that the mid-point of the sides are on the...

    Text Solution

    |

  2. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

    Text Solution

    |