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COMEDK2017MathematicsStraight Lines

Find the transformed equation of the straight line x y-x-y+1=0 , when the origin is shifted to the point (1,1) after translation of axes.

Options

  1. Ax y=5
  2. Bx y=2
  3. Cx y=0
  4. Dx y=8

Correct answer

C. x y=0

Step-by-step solution

Let the coordinates of a point P changes from (x, y) to (x^ , y^ ) in new coordinates axes where origin has the coordinates h=1 , Then, x=x^ +1, y=y^ +1 . Substituting these values in the given equation of straight line aligned & (x^ +1 ) (y^ +1 )- (x^ +1 )- (y^ +1 )+1=0 & x^ y^ +x^ +y^ +1-x^ -1-y^ -1+1=0 & x^ y^ =0 aligned Therefore, the equation of straight line in the new system is x y=0

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