Question

draw circle take three points 1 on the circle one in its interior and one in its exterior prepare a table showing their of figure and stating how many tangents can be drawn to the circle through each of the three points

Answer 1

According to the nature of the question, we shall have 3 points.

• 1st point will lie exactly on the circle
• 2nd point will lie inside the circle   AND
• 3rd point will lie outside the circle

Tangent is a line that touches the curve only at one point without cutting through it.

So exactly 2 tangents can be drawn from the point lying outside the circle.

And exactly 1 tangent can be drawn from the point lying on the circle.

And no tangent can be drawn from the point lying inside the circle.

Please see the attachment.

Answer 2

Step-by-step explanation:

R meets the circle only at one point. Therefore, line RA will also be a tangent line to the same circle. Hence, from above we see that from an external point we can draw two tangents to a given circle.