MCQMediumJEE Main 2023 · 30 January, Shift 2Applications of Integrals (Area)

Mathematics Question from JEE Main 2023 · 30 January, Shift 2

Let qq be the maximum integral value of pp in [0,10][0, 10] for which the roots of the equation x2px+5p4=0x^2 - px + \frac{5p}{4} = 0 are rational. Then the area of the region {(x,y):0y(xq)2,0xq}\{(x, y) : 0 \leq y \leq (x - q)^2, 0 \leq x \leq q \} is:

  • A

    243243

  • B

    2525

  • C

    1253\frac{125}{3}

  • D

    164164

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