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AP EAMCET202120 Aug 2021Morning ShiftMathematicsStraight LinesActual

Find the equation of a straight line passing through ( - 5 , 6 ) and cutting off equal intercepts on the co-ordinate axes.

Options

  1. A6   x - 5   y = 30
  2. Bx - y = - 11
  3. Cx + y = 11
  4. Dx + y = 1

Correct answer

D. x + y = 1

Step-by-step solution

Any line which cuts equal intercept is of the form x + y = k Since this line passes through - 5 , 6 , it will satisfy the equation of the line, ⇒ - 5 + 6 = k ⇒ k = 1 Hence, the equation of line is x + y = 1 .

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