Home
Class 12
MATHS
If the plane x/2+y/3+z/4=1 cuts the coor...

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

A

`sqrt(19)` sq, units

B

`sqrt(41)` sq. units

C

`sqrt(61)` sq. units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Similar Questions

Explore conceptually related problems

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/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area 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 plane ax + by + cz = 1 meets the coordinate axes in A, B, C. The centroid of the triangle is :

The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B , then the area of the triangle OAB is

If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any point cuts the co-ordinate axes at P and Q, then the minimum area of triangle OPQ is :

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

The line x+y -2 =0 cuts the axes at A and B , then the incentre of triangle AOB 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 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 :