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If two tangents are drawn from a point outside a circle and they are equal in le

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Question: If two tangents are drawn from a point outside a circle and they are equal in length, what can be said about the point?

Options:

  1. It is inside the circle
  2. It is on the circle
  3. It is outside the circle
  4. It is the center of the circle

Correct Answer: It is outside the circle

Solution: 

The point from which the tangents are drawn is outside the circle, as tangents can only be drawn from external points.

If two tangents are drawn from a point outside a circle and they are equal in le

Practice Questions

Q1
If two tangents are drawn from a point outside a circle and they are equal in length, what can be said about the point?
  1. It is inside the circle
  2. It is on the circle
  3. It is outside the circle
  4. It is the center of the circle

Questions & Step-by-Step Solutions

If two tangents are drawn from a point outside a circle and they are equal in length, what can be said about the point?
  • Step 1: Understand what a tangent is. A tangent is a line that touches a circle at exactly one point.
  • Step 2: Recognize that tangents can only be drawn from points that are outside the circle.
  • Step 3: Note that if two tangents are drawn from a single point to a circle, they will be equal in length.
  • Step 4: Conclude that the point from which the tangents are drawn must be outside the circle.
  • Tangents to a Circle – Understanding that tangents drawn from an external point to a circle are equal in length.
  • Properties of Circles – Recognizing the geometric properties related to circles, particularly the relationship between points outside the circle and tangents.
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