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The point of intersection of the lines x...

The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on

A

`x-y =0`

B

`(x+y)(a+b)=2ab`

C

`(lx+my)(a+b)=2ab`

D

`(lx-my)(a+b)=(l-m)ab`

Text Solution

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The correct Answer is:
A, B, D
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Knowledge Check

  • The point of intersection of the lines x/ay/b =1 and x/b +y/a =1 lines on the line

    A
    `x-y =0`
    B
    `(x+y) (a+b) =2ab`
    C
    `(lx+ my) (a+b) =(l+m) ab`
    D
    All of these

  • The equation of the line passing through the origin and the point of intersection of the lines x/a+y/b=1 and x/b+x/a=1 is

    A
    bx-ay=0
    B
    x+y=0
    C
    ax-by=0
    D
    x-y=0

  • What is the equation on the straight line joining the origin to the point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 ?

    A
    `x+y=0`
    B
    `x+y+1=0`
    C
    `x-y=0`
    D
    `x+y+2=0`

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