Chapter 4 – Geometric Construction – Text Book Solution
Practice Set 4.2 | Q 4 | Page 98
Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your obeservation about the tangents.
Solution
Observations:
The tangents T1 and T2 intersect at a point outside the circle, which is called the point of contact.
The tangents are perpendicular to the radii OP and OQ respectively, drawn from the center O of the circle to the points of contact P and Q.
The length of the tangent from a point to a circle is equal to the radius of the circle that is perpendicular to the tangent. Hence, TP = TQ = 3.3 cm.
The chord PQ intersects the tangents at points T1 and T2. These points are equidistant from the center O of the circle, and they lie on the perpendicular bisector of the chord.
Chapter 4 – Geometric Construction – Text Book Solution