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Area Under the Curves question

2023 · 30 Jan · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 30 Jan · Shift 2 · Q29

Area Under the Curves question

2023 · 30 Jan · Shift 2 · Q29

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

Let

q

be the maximum integral value of

p

in

[0,10]

for which the roots of the equation

x^2-p x+\frac{5}{4} p=0

are rational. Then the area of the region

\left\{(x, y): 0 \leq y \leq(x-q)^2, 0 \leq x \leq q\right\}

is :

A
$\frac{125}{3}$
B
243
C
164
D
25

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