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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Tangents are drawn to the circle x^2+y^2=50 from a point ' P ' lying on the x -axis. These tangents meet the y -axis at points ' P₁ ' and ' P ₂ '. Possible coordinates of ' P ' so that area of triangle P P₁ P₂ is minimum, is/are

Options

  1. A(10,0)
  2. B(10 2 , 0)
  3. C(-10,0)
  4. D(-10 2 , 0)

Correct answer

C. (-10,0)

Step-by-step solution

aligned & OP =5 2 & OP ₁=5 2 cosec aligned aligned & P P₁ P₂= 100 2 & ( P P₁ P₂ )_ =100 & = / 4 & O P=10 & P=(10,0),(-10,0) aligned

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