COMEDK · Maths · 10. Straight 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.
- A \(x y=5\)
- B \(x y=2\)
- C \(x y=0\)
- D \(x y=8\)
Answer & Solution
Correct Answer
(C) \(x y=0\)
Step-by-step Solution
Detailed explanation
Let the coordinates of a point \(P\) changes from \((x, y)\) to \(\left(x^{\prime}, y^{\prime}\right)\) in new coordinates axes where origin has the coordinates \(h=1\), Then, \(\quad x=x^{\prime}+1, y=y^{\prime}+1\). Substituting these values in the given equation of straight…
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