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NTA Abhyas JEE Main2020MathematicsCirclePractice

Which of the following equations of a line intercepts on the circle x 2 + y 2 - 6 x - 8 y = 0 a chord of longest length?

Options

  1. Ay - x = 0
  2. Bx + y = 0
  3. Cx + y = 2
  4. D3 x + 4 y - 2 = 0

Correct answer

A. y - x = 0

Step-by-step solution

The chord nearest to the centre of the circle will be the longest chord. From options, we see that the given lines are at a distance of 1 2 , 7 2 , 5 2 , 23 5 respectively from the centre 3,4 . Hence, A is correct

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