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The dr. of normal to the plane through (...

The dr. of normal to the plane through `(1,0,0), (0,1,0)` which makes an angle `pi/4` with plane , `x+y=3` are

A

`1,sqrt(2),1`

B

`1,1,sqrt(2)`

C

`1,1,2`

D

`sqrt(2),1,1`

Text Solution

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The correct Answer is:
A
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The direction ratios of a normal to the plane through (1,0,0)a n d(0,1,0) , which makes and angle of pi/4 with the plane x+y=3, are a. <<1,sqrt(2),1 >> b. <<1,1,sqrt(2)>> c. <<1,1,2>> d. << sqrt(2),1,1>>

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Knowledge Check

  • The d,r,s of normal to the plane through (1,0,0),(0,1,0) which makes an angle (pi)/(4) with plane x+y=3, are

    A
    `1,sqrt(2),1`
    B
    `1,1,sqrt(2)`
    C
    1,1,2
    D
    `sqrt(2),1,1`
  • Direction ratios of the normal of the plane which passes through the point (1,0,0) and (0,1,0) which makes angle pi//4 with x+y=3 are

    A
    1,1,2
    B
    `sqrt""2,1,1`
    C
    `1,sqrt""2,1`
    D
    `1,1,sqrt""2`
  • The driection ratios of normal to the plane through the points (0, -1, 0) and (0, 0, 1) and making an angle pi//4 with the plane y-z+5=0 are

    A
    2, -1, 1
    B
    `sqrt(2), 1, -1`
    C
    `2, sqrt(2), -sqrt(2)`
    D
    `2sqrt(3), 1, -1`
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