CATAlgebra > Medium1/41/41/41/21/21/23/43/43/4−1/4-1/4−1/4✅ Correct Option: 4Related 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 2024 Slot 1Let x, y, and z be real numbers satisfying 4(x2+y2+z2)=a4(x^2 + y^2 + z^2) = a4(x2+y2+z2)=a 4(x−y−z)=3+a4(x - y - z) = 3+ a4(x−y−z)=3+a Then a equalsCAT 2023 Slot 1If xxx and yyy are real numbers such that x2+(x−2y−1)2=−4y(x+y)x^2 + (x - 2y − 1)^2 = - 4y(x + y)x2+(x−2y−1)2=−4y(x+y), then the value x−2yx - 2yx−2y is