If A={(x,y):y=e^(-x)}" and "B={(x,y):y=-...

If `A={(x,y):y=e^(-x)}" and "B={(x,y):y=-x}`. Then,

`A capB=phi`

`A sub B`

`B subA`

`A capB={(0,1),(0,0)}`

Text Solution

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The correct Answer is:

Given that, `A={(x,y):y=e^(-x)}`
and `B={(x,y):y=-x}`
Now, drawing both curves

since, both graphs do not intersect each other at any point.
`thereforeA capB=phi` [disjoint]

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