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The equations of the plane which passe...

The equations of the plane which passes through `(0,0,0)` and which is equally inclined to the planes `x-y+z-3=0a n d x+y+z+4=0` is/are a. `y=0` b. `x=0` c. `x+y=0` d. `x+z=0`

A

`y=0`

B

`x=0`

C

`x+y=0`

D

`x+z=0`

Text Solution

Verified by Experts

The correct Answer is:
a, c
The required plane is parallel to the bisector of the given planes.
Bisector are `(x-y+z-3)/(sqrt3)= pm (x+y+z+4)/(sqrt3)`
or `2y+7 =0 and 2x+2y+1=0`. Hence, the planes are `y=0 and x+y=0`.
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