A rhombus is inscribed in the region common to the two circles x 2 + y 2 – 4x – 12 = 0…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
A rhombus is inscribed in the region common to the two circles x2 + y2 – 4x – 12 = 0 and x2 + y2 + 4x – 12 = 0 with two of its vertices on the line joining the centres of the circles. The area of the rhombus is :
- \(8 \sqrt{3}\) sq. units
- \(4 \sqrt{3}\) sq. units
- \(6 \sqrt{3}\) sq. units
- none of these
Answer
(A) 8 3 sq. units
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