CAT 2023 Linear and Quadratic Equations Question (Hard)

Question

Let be the largest integer such that the equation has no real roots. If is a positive real number, then the least possible value of is

Optima Learn · Accepted Answer

Since the equation above has no real roots, the discriminant of the equation should be negative. The largest integral value that k can take is 4. Now, we need to minimize where k takes the largest integral value and y is positive are both positive real numbers, therefore, their A.M is greater than e

CAT 2023 Linear and Quadratic Equations — Previous Year Question

CAT 2023

Quantitative

Linear and Quadratic Equations

Hard

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