Let and define a relation on by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A = \{x \in \mathbb Z \mid -3 \le x \le 3\}

and define a relation

R

A

R = \{(x,y) \in A \times A \mid y = x^{2} - 2x\}

. Consider the ordered pair

(t-1,\,t^{2} - 3t + 2)

. For which value of

t

given below is this pair a member of

R

? (a)

-1

(b)

2

(c)

1

(d)

3