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.

Answer 1

Construction of the given figure

Step 1: Draw a line $l$ and mark a point $O$ on it. With $O$ as centre draw a circle of any convenient radius.

Step 2: Mark a point $C$ on the circumference of the circle such that $O,C$ lie in the same imaginary line.

Step 3: Draw a line $AB$ parallel to the line $l$ passing through the point $C$.

This line $AB$ is the required tangent to the circle.

Step 4: Now mark a point $D$ inside the circle such that the points $C,O,D$ are on the same imaginary line.

Taking any of the two lines $l,AB$ as reference, draw a parallel line $XY$ passing through point $D$.

This line $XY$ is the required secant of the circle.

Thus, we have drawn two lines parallel to a given line such that one is a tangent and the other is the secant of the circle.