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The line 6x+8y=48 intersect the coodinat...

The line `6x+8y=48` intersect the coodinate axes at A and B respectively. A line L bisects the area and perimeter of triangle OAB where 'O' is origin
The number of possible such lines is

A

1

B

2

C

3

D

more than 3

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The line 6x+8y=48 intersect the coodinate axes at A and B respectively. A line L bisects the area and perimeter of triangle OAB where 'O' is origin The slope of the line L can be

    A
    `(10+5sqrt6)/10`
    B
    `(10-5sqrt6)/10`
    C
    `(8+3sqrt6)/10`
    D
    `(8-3sqrt6)/10`

  • The line 6x+8y=48 intersect the coodinate axes at A and B respectively. A line L bisects the area and perimeter of triangle OAB where 'O' is origin The line L does not intersect the side_____of the triangle OAB

    A
    Above the x-axis at a distance of `3//2` form it
    B
    OB
    C
    OA
    D
    can intersect all sides

  • The line x-y=8 intersect X-axis at………

    A
    (2,3)
    B
    (1,1)
    C
    (0,8)
    D
    (8,0)

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