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Let the locus of any point P z in the argand plane is a r g z - 5 i z + 5 i = π 4 . If O is the origin, then the value of m a x . O P + m i n . O P 2 is

Options

  1. A5 2
  2. B5 + 5 2
  3. C5 + 5 2
  4. D10 - 5 2

Correct answer

B. 5 + 5 2

Step-by-step solution

r 2 + r 2 = 10 2 ⇒ r = 5 2 m a x . O P = O C + radius = 5 + 5 2 and m i n . O P = O A = 5 Required value = 5 + 5 + 5 2 2 = 5 + 5 2

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