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Find the equation of the plane passing t...

Find the equation of the plane passing through the line of intersection of the planes `barr.(bari+barj+bark) =1 and barr.(2bari+3barj-bark)+4 =0` and parallel to X-axis.

Text Solution

Verified by Experts

The correct Answer is:
y-3z+6= 0
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Find the vector equation of the plane passing through the intersection of the planes barr.(bari +barj+bark) = 6 and barr. (2bari+3barj+bark) = -5 " and the point " (1,1,1) .

Find the vector equation of the plane passing through the intersection of the planes barr.(2bari +2barj-3bark) = 7, barr. = (2bari+5barj+3bark) = 9 " and through the point " (2,1,3) .

Knowledge Check

  • The cartesian equation of the plane passing through the line of intersection of the planes r.(2bari + 3barj+4bark)= l and r.(bari-barj)+4 = 0 and perpendi-cular to the plane r.(2bari+barj+bark)+8=0 is

    A
    3x - 4y + 4z = 5
    B
    x- 2y + 4z = 3
    C
    x+14y+12z-23=0
    D
    2x+3y+4=0

  • The vector equation of the plane through the point (1,1,-1) and passing through the line of intersection of the planes barr.(bari+3barj-bark) = 0 and barr.(barj+2bark) =0 is

    A
    1)`barr.(bari+8barj+9bark) =0`
    B
    2)`barr.(bari+9barj+11bark) =6`
    C
    3)`barr.(bari-barj+13bark) = 0`
    D
    4)`barr.(bari+barj+bark) = 9`

  • Equation of the plane passing through the point (3,4,5) and parallel to the plane barr.(2bari+barj-bark)=6 is

    A
    `barr.(2bari+barj-bark)=-13`
    B
    `barr.(2bari+barj-bark)=13`
    C
    `barr.(2bari+barj-bark)=5`
    D
    `(barr.(2bari+barj-bark))/(sqrt14)=13`

    • Similar Questions

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    Find the equation of the plane passing through (a,b,c) and parallel to the plane barr.(bari+barj+bark) =2 .

    The angle between the planes barr.(2bari+barj+bark)=5, (bari-barj+2bark)=3 is

    The equation of the plane passing through the points with position vectors A (-2 bari + 6 barj - 6 bark), B (-3 bar(i) + 10 barj - 9 bark) and C(-5 bari - 6 bark) is

    The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2bark)=0 is

    The angle between the line of intersection of the two planes barr. (2bari+2barj-3bark)=5, barr.(3bari+3barj-5bark)=3 and the line barr=3bari + 2barj + bark + t (5bari + 5barj- 7bark) is

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