If two tangents are drawn from a point outside a circle to the circle, what is t

Practice Questions

Q1
If two tangents are drawn from a point outside a circle to the circle, what is the relationship between the lengths of the tangents?
  1. They are equal
  2. One is longer
  3. They are perpendicular
  4. They are complementary

Questions & Step-by-Step Solutions

If two tangents are drawn from a point outside a circle to the circle, what is the relationship between the lengths of the tangents?
  • Step 1: Understand what a tangent is. A tangent is a line that touches a circle at exactly one point.
  • Step 2: Imagine a circle and a point outside the circle. This point is where we will draw the tangents.
  • Step 3: Draw two lines (tangents) from the outside point to the circle. Each line should touch the circle at one point.
  • Step 4: Label the point outside the circle as 'P', the points where the tangents touch the circle as 'A' and 'B'.
  • Step 5: Notice that the two tangents PA and PB are drawn from the same point P to the circle.
  • Step 6: According to the properties of tangents, the lengths of the two tangents PA and PB are equal.
  • Step 7: Therefore, the relationship between the lengths of the tangents is that they are always equal.
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