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In a three-dimensional x y z space , the...

In a three-dimensional `x y z` space , the equation `x^2-5x+6=0` represents a. Points b. planes c. curves d. pair of straight lines

A

points

B

planes

C

curves

D

pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
b
`x^(2)-5x+6=0`
`impliesx-2=0,x-3=0`
which represents planes.
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Knowledge Check

  • In three dimensional space, x=0 represents the equation of-

    A
    x-axis
    B
    xy-plane
    C
    yz-plane
    D
    zx-plane

  • In three dimensional spaces, the perpendicular distance of the point p (x,y,z) from the Y-axis is-

    A
    `sqrt(x^(2) +z^(2))`
    B
    `sqrt(x^(2) +y^(2))`
    C
    `z`
    D
    x

  • The pair of straight lines x+2y-1=0,x+2y-5=0 are.

    A
    touch each other
    B
    parallel to each other
    C
    parallel to `x` axis
    D
    parallel to `y` axis

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