P is a variable point on the line L = 0 . Tangents are drawn to the circle x 2 + y 2 = 4…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry


P is a variable point on the line L = 0 . Tangents are drawn to the circle x2 + y2 = 4 from P to touch it at Q and R. The parallelogram PQSR is completed
If P ≡ (6, 8), then the area of ∆QRS is
  1. \(\frac{(6)^{3 / 2}}{8}\) sq. units
  2. \(\frac{(2)^{3 / 2}}{8}\)sq. units
  3. \(\frac{8 \sqrt{6}}{8}\) sq. units
  4. \(\frac{192 \sqrt{6}}{25}\)sq. units

Answer

(D) 192 6 25 sq. units

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