CATAlgebra > MediumA<1/16A < 1/16A<1/16A<1/8A < 1/8A<1/8A>1/16A > 1/16A>1/16A>1/8A > 1/8A>1/8✅ Correct Option: 3Related questions:2025 Slot 3If f(x)=(x2+3x)(x2+3x+2)f(x)=(x^2+3x)(x^2+3x+2)f(x)=(x2+3x)(x2+3x+2), then the sum of all real roots of the equation f(x)+1=9701\sqrt{f(x)+1}=9701f(x)+1=9701, isCAT 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 2022 Slot 3Suppose kkk is any integer such that the equation 2x2+kx+5=02 x^{2}+k x+5=02x2+kx+5=0 has no real roots and the equation x2+(k−5)x+1=0x^{2}+(k-5) x+1=0x2+(k−5)x+1=0 has two distinct real roots for xxx. Then, the number of possible values of kkk is