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CAT 2023 Linear and Quadratic Equations — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Linear and Quadratic Equations

Difficulty

Hard

Question

Slot-1

Let α\alpha and β\beta be the two distinct roots of the equation 2x26x+k=02x^2 - 6x + k = 0, such that (α+β)(\alpha + \beta) and αβ\alpha \beta are the distinct roots of the equation x2+px+p=0x^2 + px + p = 0. Then, the value of 8(kp)8(k - p) is

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