Question

Construct the pair of tangent from the point in the exterior of a circle whose centre is not given

Answer 1

e.g. Draw a circle of radius 4 cm and constructa tangent to it from an external point without using centre. Steps of construction:

1. Take point O and draw a circle of radius 4 cm.
2. Take any point P out side the circle.
3. Through the external point P draw a straight line PBA meet the given circle at A and B.
4. With AP as diameter , draw a semicircle.
5. Draw BC ⊥ AP, which intersects the semicircle at C.
6. With P as centre and radius PC draw an arc cutting the given circle at Q .Join PQ Then PQ is the required tangent.

Justification: It touches the circle then it is a tangent.

Answer 2

Answer:

Find the centre.

Step-by-step explanation:

First step would be to find the centre if the circle. For this draw two chords anywhere in the circle and then make their perpendicular bisectors and the point where they intersect inside the circle would be the centre of the circle. After this you can draw a line from the centre and then draw the tangents by following the common steps.

Hope the answer helps all...