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NEST2022MathematicsStraight Lines

Consider the set of lines in the plane at a unit distance from origin and intersecting both X -axis and Y -axis. Let S be the set of mid points of segments of these lines joining their point of intersection with X -axis and Y -axis. Then S is

Options

  1. A(x, y): 1 x^2 + 1 y^2 =4 .
  2. B(x, y): 1 x^2 - 1 y^2 =4
  3. C(x, y): x^2+y^2=4 .
  4. D(x, y): y^2=4 x

Correct answer

A. (x, y): 1 x^2 + 1 y^2 =4 .

Step-by-step solution

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