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BITSAT2020MathematicsCircleActual

If a chord of the circle x²+y²=8 makes equal intercets of length a on the coordinate axes, then

Options

  1. A| a |<8
  2. B| a |<4 2
  3. C| a |<4
  4. D| a |>4

Correct answer

C. | a |<4

Step-by-step solution

Since the chord makes equal intercepts of length a on the coordinate axes. So, its equation can be written as x y = a . This line meets the given circle at two distinct points. So, length of the perpendicular from the centre (0,0) of the given circle must be less than the radius. i.e. | a 2 |< 8 a ²<16 | a |<4

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