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

# If R = {(2, 1), (4, 7), (1, −2), ...}, Then Write the Linear Relation Between the Components of the Ordered Pairs of the Relation R. - Mathematics

If R = {(2, 1), (4, 7), (1, −2), ...}, then write the linear relation between the components of the ordered pairs of the relation R.

#### Solution

Given:
R = {(2, 1), (4, 7), (1, −2), ...}
We can observe that

$1 = 3 \times 2 - 5$

$7 = 3 \times 4 - 5$

$- 2 = 3 \times 1 - 5$

Thus, the linear relation between the components of the ordered pairs of the relation R is y = 3x - 5.

Concept: Sets - Ordered Pairs
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 8 | Page 25