MCQMediumJEE Main 2025 · 29 January, Shift 1Circle Equation & Properties

Mathematics Question from JEE Main 2025 · 29 January, Shift 1

Let the line x+y=1x + y = 1 meet the circle x2+y2=4x^2 + y^2 = 4 at the points A and B. If the line perpendicular to ABAB and passing through the mid point of the chord ABAB intersects the circle at C and D, then the area of the quadrilateral ABCDABCD is equal to:

  • A

    14\sqrt{14}

  • B

    575\sqrt{7}

  • C

    373\sqrt{7}

  • D

    2142\sqrt{14}

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