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AP EAMCET201920 Apr 2019Evening ShiftMathematicsStraight LinesActual

The locus of a point P(x, y) satisfying the equation (x-2)^2+y^2 + (x+2)^2+y^2 =4 , is

Options

  1. Aan ellipse
  2. Ba parabola
  3. Ca line segment
  4. Da circle

Correct answer

C. a line segment

Step-by-step solution

Given, equation (x-2)^2+y^2 + (x+2)^2+y^2 =4 Sum of distance of a point P(x, y) w.r.t. points A(2,0) and B(-2,0)= Distance between points A(2,0) and B((-2,0) A P+B P=A B Locus of point P(x, y) is a line segment. Hence, option (c) is correct.

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