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The plane which passes through the po...

The plane which passes through the point `(3,2,0)` and the line `(x-3)/1=(y-6)/5=(z-4)/4` is a. `x-y+z=1` b. `x+y+z=5` c. `x+2y-z=1` d. `2x-y+z=5`

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A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-7)/5=(z-4)/4 is (A) x-y+z=1 (B) x+y+z=5 (C) x+2y-z=1 (D) 2x-y+z=5

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Knowledge Check

  • The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

    A
    (3,4,5)
    B
    (4,6,7)
    C
    (4,5,8)
    D
    (8,4,5)

  • The image of the line (x-1)/(3)=(y-3)/(1)=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line

    A
    `(x+3)/(3)=(y-5)/(1)=(z-2)/(-5)`
    B
    `(x+3)/(-3)=(y-5)/(-1)=(z-2)/(5)`
    C
    `(x-3)/(3)=(y+5)/(1)=(z-2)/(-5)`
    D
    `(x-3)/(-3)=(y+5)/(-1)=(z-2)/(5)`

  • The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is

    A
    `11x-y-3z=35`
    B
    `11x+y-3z=35`
    C
    `11x-y+3z=35`
    D
    none of these

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    The equation of the plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2), and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is a.4x+3y+5z=25 b.4x+3y=5z=50c3x+4y+5z=49d.x+7y-5z=2

    Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

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