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Draw Tangent to a Circle Video Lecture - Class 10

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1. How do you draw a tangent to a circle?
Ans. To draw a tangent to a circle, follow these steps: 1. Draw the circle with its center and radius marked. 2. From the center of the circle, draw a radius that intersects the circle at a point. 3. Place the compass at the point of intersection on the circle and draw an arc that intersects the circle at two points. 4. From the center of the circle, draw a radius to one of the points where the arc intersects the circle. 5. The line drawn from the center to the point of intersection is the tangent to the circle.
2. What is a tangent to a circle?
Ans. A tangent to a circle is a line that touches the circle at exactly one point, without intersecting the circle. The point where the tangent touches the circle is called the point of tangency. The tangent line is always perpendicular to the radius of the circle at the point of tangency.
3. How many tangents can be drawn to a circle from an external point?
Ans. From an external point, two tangents can be drawn to a circle. These tangents are equal in length and are symmetrically positioned with respect to the line segment connecting the external point to the center of the circle. The tangents will intersect the circle at two different points.
4. Can a tangent to a circle be drawn from an internal point?
Ans. No, a tangent cannot be drawn to a circle from an internal point. If a point is inside the circle, the line connecting the center of the circle to the point will intersect the circle at more than one point. The tangent, by definition, only touches the circle at one point without intersecting it.
5. What is the relationship between the radius of a circle and the tangent drawn to it?
Ans. The radius of a circle is always perpendicular to the tangent drawn to it at the point of tangency. This means that the radius and the tangent line are at a 90-degree angle to each other. The length of the tangent line is determined by the distance between the center of the circle and the point of tangency.
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