CATAlgebra > Hard83+p+13q\dfrac{8}{3} + p + \dfrac{1}{3}q38+p+31q23−p+32q\dfrac{2}{3} - p + \dfrac{3}{2}q32−p+23q83−p+32q\dfrac{8}{3} - p + \dfrac{3}{2}q38−p+23q23−2p+23q\dfrac{2}{3} - 2p + \dfrac{2}{3}q32−2p+32q✅ Correct Option: 3Related questions:CAT 2020 Slot 3Let mmm and nnn be positive integers, If x2+mx+2n=0x^2 + mx + 2n = 0x2+mx+2n=0 and x2+2nx+m=0x^2 + 2nx + m = 0x2+2nx+m=0 have real roots, then the smallest possible value of m+nm + nm+n isCAT 2024 Slot 2If xxx and yyy are real numbers such that 4x2+4y2−4xy−6y+3=04x^2 + 4y^2 - 4xy - 6y + 3 = 04x2+4y2−4xy−6y+3=0, then the value of (4x+5y)(4x + 5y)(4x+5y) is2025 Slot 1The number of non-negative integer values of kkk for which the quadratic equation x2−5x+k=0x^2 - 5x + k = 0x2−5x+k=0 has only integer roots, is