and are two operators on number p and q such that p q=(p²+q²)/pq and p q=(p²)/q If x y=2 2, then x= · ABC26IN0542
Subject: Inorganic Chemistry · Chapter: Periodic Properties · Topic: Perodic – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Hard
$\oplus$ and $\odot$ are two operators on number p and q such that \[ \mathrm{p} \oplus \mathrm{q}=\frac{\mathrm{p}^{2}+\mathrm{q}^{2}}{\mathrm{pq}} \text { and } \mathrm{p} \odot \mathrm{q}=\frac{\mathrm{p}^{2}}{\mathrm{q}} \]
If $\mathrm{x} \oplus \mathrm{y}=2 \odot 2$, then $\mathrm{x}=$ (a)$\frac{\mathrm{y}}{2}$
(b)$\frac{3 y}{2}$
(c)y
(d)2 y
Answer
Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
2 ⊙ 2 = 4/2 = 2, so (x² + y²)/xy = 2, giving (x − y)² = 0 and x = y (c).
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