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Question

Find the equation of the straight line which is parallel to xy=3 and makes xintercept 7 units.

Solution
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The given line is xy=3 .......(1)
The equation of the family of lines parallel to (1) is
xy+k=0 .....(2) where k is a parameter.
To find xintercept,put y=0 in (2) we get
x+k=0
x=k
For the required member of the family which makes xintercept 7 units,
k=7k=7
Substituting this value of k in (2), the equation of the required line is
xy7=0

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