Question

Draw a circle.Take three points-one on the circle, one in its interior and one in its exterior.Prepare a table, showing rough figures and starting 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
• 3rd point will lie outside the circle
  

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

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

And exactly one 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.