Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# If a = { ( X , Y ) : Y = 1 X , 0 ≠ X ∈ R } and B = { ( X , Y ) : Y = − X , X ∈ R } Then Write a ∩ B - Mathematics

If $A = \left\{ \left( x, y \right) : y = \frac{1}{x}, 0 \neq x \in R \right\}$and$B = \left\{ \left( x, y \right) : y = - x, x \in R \right\}$ then write$A \cap B$

#### Solution

We have:

$A = \left\{ \left( x, y \right) : y = \frac{1}{x}, 0 \neq x \in R \right\}$

$\left( 1, 1 \right), \left( 2, \frac{1}{2} \right), \left( 3, \frac{1}{3} \right), \left( 4, \frac{1}{4} \right)$And, $B = \left\{ \left( x, y \right) : y = - x, x \in R \right\}$

=$\left\{ \left( 1, - 1 \right), \left( 2, - 2 \right), \left( 3, - 3 \right), \left( 4, - 4 \right), . . . \right\}$

Thus, we get:

$A \cap B$=$\varnothing$

Concept: Subsets
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.9 | Q 8 | Page 49