MyGoalPrep LogoMyGoalPrep.com

Jee Main 2025 — Medium JEE math MCQ

Let the line \( x + y = 1 \) meet the circle \( x^2 + y^2 = 4 \) at the points A and B. If the line perpendicular to AB and passing through the mid point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ADBC is equal to:
  1. A. \sqrt{14} \\
  2. B. 3\sqrt{7} \\
  3. C. 2\sqrt{14} \\
  4. D. 5\sqrt{7}

Solution

The correct option is **C**. (C. 2\sqrt{14} \\)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let the line x+y=1 x + y = 1 meet the circle x2+y2=4 x^2 + y^2 = 4 at the points A and B. If the line perpendicular to AB and passing through the mid point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ADBC is equal to:
AI hints
Ask for a nudge. Keep it specific.
Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep