Mathematics
Draw a circle of radius 3 cm. Mark its centre as C and mark a point P such that CP = 7 cm. Using ruler and compasses only, construct two tangents from P to the circle.
Answer
Steps of construction :
Construct a circle with centre as C and radius = 3 cm.
Mark a point P at a distance of 7 cm from the centre. Join CP. Draw its perpendicular bisector to meet CP at M.
With M as centre and CM (or MP) as radius, draw a circle. Let this circle intersect the circle with C as centre at points A and B.
Join PA and PB.
Hence, PA and PB are tangents to the circle with centre C.
Related Questions
Using ruler and compasses only, construct an equilateral triangle of height 4 cm and draw its circumcircle.
Using ruler and compasses only, construct a triangle ABC having given c = 6 cm, b = 7 cm and ∠A = 30°. Measure side a. Draw the circumcircle of the triangle.
Using ruler and compasses only :
(i) Construct a triangle ABC with the following data :
BC = 7 cm, AB = 5 cm and ∠ABC = 45°.
(ii) Draw the inscribed circle to △ABC drawn in part (i).
Draw a line AQ = 7 cm. Mark a point P on AQ such that AP = 4 cm. Using ruler and compasses only, construct :
(i) a circle with AP as diameter
(ii) two tangents to the above circle from the point Q.