Advertisements
Advertisements
Question
Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.
Advertisements
Solution
Steps of construction:
(i) Draw a circle of radius 4 cm.
(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.
(iii) Produce AP to C such that AP = CP.
(iv) Draw a semicircle with CB as diameter.
(v) Draw PD and CB intersecting the semi-circle at D.
(vi) With P as centre and PD as a radius draw arcs to intersect the given circle at T and T'.
(vii) Join PT and PT'. Then PT and PT' are the required tangents.
APPEARS IN
RELATED QUESTIONS
Draw a circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Give the justification of the construction.
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Draw a circle circumscribing a regular hexagon with side 5 cm.
Draw a circle of radius 4.2. Draw a pair of tangents to this circle inclined to each other at an angle of 45°
Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°.
Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.
Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.
Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.
