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NTA Abhyas JEE Main2020MathematicsParabolaPractice

The focal chords of the parabola y 2 = 16 x which are tangent to the circle of radius r and centre 6,0 are perpendicular, then the radius r of the circle is

Options

  1. A2 units
  2. B2 units
  3. C1 units
  4. D1 2 units

Correct answer

B. 2 units

Step-by-step solution

The focus of the given parabola is 4,0 The centre of the circle with two focal chords as tangent is 6 , 0 From the figure, the distance between the centre of the circle and the focus is 2 units Hence, the radius of the circle is 2 sin 45 ° = 2 units

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