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JEE Main20245 Apr 2024Morning ShiftMathematicsCircleActual

Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3,2) and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point (5,5) is :

Options

  1. A2 2
  2. B4 2
  3. C4
  4. D5

Correct answer

C. 4

Step-by-step solution

Coordinates of the centre will be (2,1) Equation of circle will be aligned & ( x -2)^2+( y -1)^2=1 & QC = (5-2)^2+(5-1)^2 & QC =5 aligned shortest distance aligned & = RQ = CQ - CR & =5-1 & =4 aligned

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