Home
Class 12
MATHS
If a plane meets coordinate axes in A, B...

If a plane meets coordinate axes in A, B, C such that the centroid of the triangle is `(1, k, k^2)`, then equation of the plane is :

A

`x+ky+k^2z=3k^2`

B

`k^2x+ky+z=3k^2`

C

`x+ky+k^2z=3`

D

`k^2x+ky+z=3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle is (3, 3, 3). The equation of the plane is :

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle ABC is (3,4,5). Then the equation of the plane is

A line meets the axes at P and Q such that the centroid of the triangle O P Q is (h, h) . The equation of the line P Q is

A plane meets the coordinate axes in A, B, C and (alpha,beta,gamma) is the centroid of the triangle ABC. then the equation of the plane is :

The plane ax + by + cz = 1 meets the coordinate axes in A, B, C. The centroid of the triangle is :

If the plane 7x+11y+13z=3003 meets the axes A, B, C then the centroid of the triangle ABC is

If the plane 3x+4y-3z+2=0 cuts the coordinate axes at A, B, C, then the centroid of the triangle ABC is

The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the triangle ABC is

The foot of the perpendicular from (0,0,0) to the plane is (1,2,2). Then equation of the plane is

The plane x/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area of the triangle ABC is