jee-main 2025 Q19

jee-main · India · session1_29jan_shift1 Circles Area and Geometric Measurement Involving Circles

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) $\sqrt{14}$
(2) $3\sqrt{7}$
(3) $2\sqrt{14}$
(4) $5\sqrt{7}$

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) $\sqrt{14}$\\
(2) $3\sqrt{7}$\\
(3) $2\sqrt{14}$\\
(4) $5\sqrt{7}$

Paper Questions

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