From the point tangents PA and PB are drawn to the circle

MATHEMATICS · Multi-part · GCSE · Mathematics · Graphs · Graphs

Problem

From the point P(2,6)P(\sqrt{2}, \sqrt{6}) tangents PA and PB are drawn to the circle x2+y2=4x^2 + y^2 = 4 (1) Statement I Area of the quadrilateral OAPB (O being origin) is 4. (2) Statement II Tangents PA and PB are perpendicular to each other and therefore quadrilateral OAPB is a square.

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