The x-y plane is rotated about its line of intersection with the y-z plane by `45^0` , then the equation of the new plane is/are a. `z+x=0` b. `z-y=0`

Question

The x-y plane is rotated about its line of intersection with the y-z plane by `45^0` , then the equation of the new plane is/are a. `z+x=0` b. `z-y=0`

The x-y plane is rotated about its line of intersection with the y-z plane by `45^0` , then the equation of the new plane is/are a. `z+x=0` b. `z-y=0` c. `x+y+z=0` d. `z-x=0`
A. `z+x=0`
B. `z-y=0`
C. `x+y+z=0`
D. `z-x=0`

Monjur Alahi

4 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, d
The equation of a plane passing through the line of intersection of the `x-y and y-z` planes is
`" "z+lamdax=0, lamdain R`
This plane makes an angle `45^(@)` with the `x-y` plane `(z=0)`. Thus,
`" "cos45^(@) = (1)/(sqrt(1)sqrt(lamda^(2)+1))`
or `" "lamda= pm 1`

4 views Answered 2023-02-05 15:29