Question

Which of the following is true about the following construction of a tangent to a circle from a point outside of the circle?

m OM = MB
OX = OM
m

Answer 1

Hence, Option: B is correct.

( OM=MB)

Explanation:

Since the construction of the tangent of a circle from a point outside the circle is given by the following steps:

• Draw a line connecting the point to the center of the circle.
• Construct the perpendicular bisector of that line.
• Place the compass on the midpoint, adjust its length to reach the end point, and draw an arc across the circle .
• Where the arc crosses the circle will be the tangent points.

Hence from the first step we get a line segment OB.

now from the second step we get a perpendicular bisector of line OB at point M.

This means that OM=MB ( since bisector means that the line is cut into two equal parts)

Hence, option: B is correct.

(OM=MB)