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If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is the relation between x and y?
Ax is always greater than y
Bx is always less than y
Cx and y have no fixed relation
Dx is always equal to y
Answer & Solution
Correct answer: C. x and y have no fixed relation
1. x² − 6x + 9 = (x − 3)² = 0 ⇒ x = 3.
2. y² − 3y − 18 = (y − 6)(y + 3) = 0 ⇒ y = 6 or y = −3.
3. Against x = 3: y = 6 gives x < y, but y = −3 gives x > y — so **no fixed relation** holds.
_Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.42_
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