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Parabola

Section: Mathematics

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Question : 1

Total: 31

Let S denote the locus of the mid-points of those chords of the parabola y2=x, such that the area of the region enclosed between the parabola and the chord is ‌

. Let R denote the region lying in the first quadrant, enclosed by the parabola y2=x, the curve S, and the lines x=1 and x=4.
Then which of the following statements is (are) TRUE?

[JEE Adv 2025 P2]

(4,√3)∈S
(5,√2)∈S
Area of R is ‌
14
3
−2√3
Area of R is ‌
14
3
−√3

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