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Home » Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as diameter. Measure the length of each tangent
Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as diameter. Measure the length of each tangent
CBSE | Class 10 | Constructions | Exercise 1 | Maths | ML Aggarwal
Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as diameter. Measure the length of each tangent

Solution:

Steps to construct:

Step 1: Draw a line segment AB = 6cm.

Step 2: Draw its perpendicular bisector bisecting it at point O.

Step 3: With center O and radius OB, draw a circle.

Step 4: Extend AB to point P such that OP = 5cm.

Step 5: Draw its perpendicular bisector intersecting it at point M.

Step 6: With center M and radius OM, draw a circle which intersects the given circle at T and S.

Step 7: Join OT, OS, PT and PS. Hence, PT and PS are the required tangents to the given circle.

Step 8: On measuring each tangent is 4cm long. PT = PS = 4cm.

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