Choose the correct option .
with reason
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ANS-The Number Of Lines Exist Equidistant from one another is________
A)2✔
B)4❎
C)3❎
D)0❎
REASON
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Take any line | and a point P not on |. Then, by Playfair’s axiom, which is equivalent to the fifth postulate, we know that there is a unique line m through P which is parallel to I.
Now, the distance of a point from a line is the length of the perpendicular from the point to the line. This distance will be the same for any point on m from | and any point on | from m. So, these two lines are everywhere equidistant from one another.
A)2✔
B)4❎
C)3❎
D)0❎
REASON
---------------
Take any line | and a point P not on |. Then, by Playfair’s axiom, which is equivalent to the fifth postulate, we know that there is a unique line m through P which is parallel to I.
Now, the distance of a point from a line is the length of the perpendicular from the point to the line. This distance will be the same for any point on m from | and any point on | from m. So, these two lines are everywhere equidistant from one another.
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hey buddy here's ur answer, since there can be only two lines, that exist at same distance, hence option (i). is correct
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