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AP EAMCET202422 May 2024Evening ShiftMathematicsStraight LinesActual

The locus of a variable point which forms a triangle of fixed area with two fixed points is

Options

  1. Aa circle
  2. Ba circle with fixed points as ends of a diameter
  3. Ca pair of non parallel lines
  4. Da pair of parallel lines

Correct answer

D. a pair of parallel lines

Step-by-step solution

Let C be the variable point and A ; B be two fixed points. Area of ABC = 1 2 AB Height As A B is fixed. So, for constant area height should remain same, which is only possible if C moves on a line parallel to A B So, locus of C is a pair of parallel lines.

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