Question

Draw a circle of radius 3cm.Take a point P on it. Using ruler and compass only construct a tangent to the cirvle at the point P

Answer 1

steps of construction:
Draw a circle of radius 3 cm and draw a secant PAB
Draw perpendicular bisector of PB. Let M be the midpoint of PB
With M as centre and radius MP or MB draw a semi circle
Now draw a perpendicular at point A. Let it intersect the semicircle at point C.
Measure the length PC and with P as centre and radius PC draw two arcs on the circle and mark the intersection points as T and S.
Join the points P, T and P, S.
PT and PS are the required tangents drawn from external point P.