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 dx+y=z+4=0` is/are a. `y=0` b. `x=

Question

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 dx+y=z+4=0` is/are a. `y=0` b. `x=

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 dx+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`

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`.

6 views Answered 2023-02-05 15:29