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:CAT 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) isCAT 2023 Slot 3A quadratic equation x2+bx+c=0x^{2}+b x+c=0x2+bx+c=0 has two real roots. It the difference between the reciprocals of the roots is 1/31 / 31/3 and the sum of the reciprocals of the squares of the roots is 5/95 / 95/9, then the largest possible value of ( b+cb+cb+c ) isCAT 2017 Slot 1If f1(x)=x2+11x+nf_{1}(x)=x^{2}+11 x+nf1(x)=x2+11x+n and f2(x)=xf_{2}(x)=xf2(x)=x, then the largest positive integer nnn for which the equation f1(x)=f2(x)f_{1}(x)=f_{2}(x)f1(x)=f2(x) has two distinct real roots, is