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If a = { ( X , Y ) : Y = E X , X ∈ R } a N D B = { ( X , Y ) : Y = E − X , X ∈ R } Write a ∩ B - Mathematics

If \[A = \left\{ \left( x, y \right) : y = e^x , x \in R \right\} and B = \left\{ \left( x, y \right) : y = e^{- x} , x \in R \right\}\]write\[A \cap B\] 

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Solution

We have:
A =\[\left\{ \left( 0, 1 \right), \left( 1, e \right), \left( 2, e^2 \right), \left( 3, e^3 \right), . . . \right\}\]

B =\[\left\{ \left( 0, 1 \right), \left( 1, e^{- 1} \right), \left( 2, e^{- 2} \right), \left( 3, e^{- 3} \right), . . . \right\}\] 

Thus, we get:
AThus, we get:
A\[\cap\]B =\[\left\{ \left( 0, 1 \right) \right\}\]

Concept: Subsets
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.9 | Q 9 | Page 49
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