CATAlgebra > Hard1131 \frac{1}{3}131314✅ Correct Option: 2Related questions:CAT 2023 Slot 2If p2+q2−29=2pq−20=52−2pqp^{2}+q^{2}-29=2 p q-20=52-2 p qp2+q2−29=2pq−20=52−2pq, then the difference between the maximum and minimum possible value of (p3−q3)\left(p^{3}-q^{3}\right)(p3−q3) isCAT 2021 Slot 2Consider the pair of equations: x2−xy−x=22x^{2}-x y-x=22x2−xy−x=22 and y2−xy+y=34y^{2}-x y+y=34y2−xy+y=34. If x>yx>yx>y, then x−yx-yx−y equalsCAT 2018 Slot 1u2+(u−2v−1)2=−4v(u+v)u² + (u − 2v − 1)² = −4v (u + v)u2+(u−2v−1)2=−4v(u+v). Then the value of u+3vu + 3vu+3v is