CATAlgebra > Hard1/41/41/41/21/21/23/43/43/4−1/4-1/4−1/4✅ Correct Option: 4Related questions:CAT 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 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 2019 Slot 1The product of two positive numbers is 616616616. If the ratio of the difference of their cubes to the cube of their difference is 157:3157: 3157:3, then the sum of the two numbers is