Given: In a quadratic equation Sum of roots = Product of roots Concept Used: The general equation of quadratic equation is ax2+bx+c=0;a≠0 Sum of roots =−b∕a Product of roots =c∕a Calculation: Let the quadratic equation be ax2+bx+c=0 Sum of roots =−b∕a Product of roots =c∕a According to the question Sum of roots = Product of roots ⇒−b∕a=c∕a ⇒−b=c‌ or ‌b=−c i.e b and c are the additive inverse of each other Here, we can say that there can be infinite many quadratic equation possible when a≠0 and b=−c eg: x2−4x+4=0,2x2−9x+9=0,5x2−16x+16=0.............. etc. ∴ The correct answer is option 4 .