devarshi-dt-logo

Question:

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

Solution:

  1. Draw the given line: Start by drawing a straight line on a piece of paper. This is your given line. Let's call it line 'l'.

  2. Draw the circle: Draw a circle of any convenient radius. The circle should not intersect the given line 'l'.

  3. Draw a tangent: From the circle, identify a point on the circle where a line drawn from that point will be perpendicular to a radius that intersects that point. This line is tangent to the circle and parallel to the given line. It will only touch the circle at one point. To ensure it's parallel, use a ruler and set square or a parallel ruler to draw the line parallel to the given line 'l'.

  4. Draw a secant: A secant line intersects the circle at two points. Draw another line parallel to the given line 'l' and the tangent line. Make sure this line intersects the circle at two distinct points. Again, use a ruler and set square or parallel ruler for accuracy.

The construction is now complete. You have a circle and two lines, one tangent and one secant, both parallel to the given line.