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Draw a line, say $AB$ take a point $c$ outside it. Through $c$ , draw a line parallel to $AB$ using ruler and compasses only and choose the correct option for a parallel line

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An Intiative by Sri Chaitanya

parallel lines are two lines in the same plane that are at equal distance from each other and never meet.

parallel lines are two lines in another plane that are at equal distance from each other and never meet

parallel lines are two lines in the same plane that are at unequal distance from each other and never meet

parallel lines are two lines in the different plane that are at equal distance from each other and never meet

answer is A.

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Detailed Solution

Draw a line segment AB and take a point C outside AB.
Description: C:UsersadminDesktop1.PNG

Join C to D (any point online).
Description: C:UsersadminDesktop2.PNG

Draw an arc with D as the centre.
This arc cuts AB at E and CD at F.
Description: C:UsersadminDesktopc.PNG

Draw an arc from C as the centre.
It cuts the CD at I.
Description: C:UsersadminDesktop4.PNG

Measure EF arc and draw the same arc at C.
It cuts at J.
Description: C:UsersadminDesktope.PNG

.
Join J to C and make a line I.
Description: C:UsersadminDesktopf.PNG

This line “I” is parallel to line “AB”
Description: C:UsersadminDesktopCapture.PNG

Both lines I and AB are parallel lines in the same plane. As, they are at some distance to each other and have same direction, thus these lines never meet.
Hence option 1 is correct.

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