CATAlgebra > Easy121212363636242424666✅ Correct Option: 3Related questions:CAT 2022 Slot 2Let rrr and ccc be real numbers, if rrr and −r-r−r are roots of 5x3+cx2−10x+9=05 x^{3}+c x^{2}-10 x+9=05x3+cx2−10x+9=0, then ccc equalsCAT 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, 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) is