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AP EAMCET20226 Jul 2022Evening ShiftMathematicsStraight LinesActual

A variable line passing through (l, m) intersects the coordinate axes at the points A and B . If the line drawn parallel to Y -axis through A and parallel to X -axis through B meet at P , then the locus of P is

Options

  1. Al x + m y =1
  2. Bx 1 + y m =1
  3. Cm x + 1 y =1
  4. Dx m + y 1 =1

Correct answer

A. l x + m y =1

Step-by-step solution

Let O A=a , and O B=b Then, the coordinate of a point P is (a, b) . Equation of a variable line x a + y b =1 Also the line passes through (l, m) l a + m b =1 The locus of a point P is l x + m y =1

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