Why can a tangent not be constructed from a point inside a circle?
Constructions
Original Khojo Papers practice question — not from a past board paper.
The perpendicular is drawn by taking arcs from A that cut BC at two points and bisecting the segment between them.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The construction only needs a straight edge and compasses; the foot of the perpendicular is the midpoint of the two arc intersections on BC.
From the same topic and chapter, at a similar level.
Why can a tangent not be constructed from a point inside a circle?
Constructions
Construct a regular hexagon of side 4 cm and draw its circumscribed circle. State the radius of that circle.
Constructions
Construct a triangle ABC with AB = 6 cm, BC = 7 cm and CA = 5 cm, and then construct its circumcircle. State how the centre is found.
Constructions
Construct a circle of radius 4 cm and, from a point 7 cm from its centre, construct the two tangents to the circle. State the length of each tangent.
Constructions
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then construct its incircle. State how the centre and the radius are found.
Constructions
Construct a circle of radius 3 cm and mark a point P on it. Construct the tangent to the circle at P and justify the construction.
Constructions