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:
(c)
Promotional Banner

Similar Questions

Explore conceptually related problems

Two systems 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 :

The distance of the point P(a, b, c) from the x-axis is

Find the distance of the plane 2x-3y+4z-6= 0 from the origin

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

Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

An equation of a plane parallel to the plane x - 2y + 2z -5 = 0 and at a unit distance from the origin is :

Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the origin is

If p is the length of the perpendicular from the origin on the line whose intercepts on the axes are a and b, then

What is the equation of the plane that cuts the coordinate axes at (a,0,0), (0,b,0) and (0,0,c) ?