JEE Advanced 2025 Mathematics question
Let S denote the locus of the mid-points of those chords of the parabola , 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 , the curve S, and the lines x = 1 and x = 4. Then which of the following statements is (are) TRUE?
Answer: (A),(C)
Solution
For the chord joining and the enclosed area is , so . Midpoint: , . So S:
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