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Question -

Give the equations of two lines passing through (2, 14). How many moresuch lines are there, and why?



Answer -

It can be observed that point (2, 14) satisfies the equation 7x − y =0 and

x − y +12 = 0.

Therefore, 7x − y = 0 and x − y +12 = 0 are two lines passing through point (2, 14).

As it is known that through one point, infinitenumber of lines can pass through, therefore, there are infinite lines of suchtype passing through the given point.

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