Home
Class 12
MATHS
Two system of rectangular axes have the ...

Two system of rectangular axes have the same origin. If a plane cuts them
at distance `a, b, c and a', b', c'` from the origin, then:

A

`(1)/(a^2)+(1)/(b^2)+(1)/(c^2)-(1)/(a'^2)-(1)/(b'^2)-(1)/(c'^2)=0`

B

`(1)/(a^2)+(1)/(b^2)+(1)/(c^2)+(1)/(a'^2)+(1)/(b'^2)+(1)/(c'^2)=0`

C

`(1)/(a^2)+(1)/(b^2)-(1)/(c^2)+(1)/(a'^2)+(1)/(b'^2)-(1)/(c'^2)=0`

D

`(1)/(a^2)-(1)/(b^2)-(1)/(c^2)+(1)/(a'^2)-(1)/(b'^2)-(1)/(c'^2)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the sum of the squares of the distance of a point from the three co-ordinate axes be 36, then its distance from the origin is

The shortest distance of the point (a,b,c) from X-axis is

Three distinct points A, B and C are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (-1, 0) is equal to 1:3. Then the circumcentre of the triangle ABC is at the point

On the portion of the straight Line from line x + y = 2 which is intercepted between the axes, a square is constructed away from the origin with this portion as on of its side. If p denotes the perpendicular distance of a side of this square from the origin, then the maximum value of p is

A plane makes 2,1,-2 intercepts on co-ordinate axes. Its distance from the origin is

A large number of particles are placed around the origin, each at a distance R from the origin. The distance of the center of mass of the system from the origin is

The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axes, is