Q. 4 4.2( 147 Votes )

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 :

Steps of Construction:
1) Draw a circle with any radius and center O.
2) Choose any point P on the circumference of circle, and draw a line passing through P, Let's name it CD.
3) Draw a line AB parallel to CD, such that AB intersects the circle at two points P and A.
AB and CD are two parallel lines.
AB intersects the circle at exactly two points, P and Q. Therefore, line AB is the secant of this circle.
CD intersects the circle at exactly one point, R, line CD is the tangent to the circle.

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