Class 10 Exam > Class 10 Videos > 02 - Tangent To A Circle - Class 10 - Maths
02 - Tangent To A Circle - Class 10 - Maths Video Lecture
FAQs on 02 - Tangent To A Circle - Class 10 - Maths Video Lecture
| 1. What is a tangent to a circle? |  |
Ans. A tangent to a circle is a line that touches the circle at exactly one point, known as the point of tangency. It is perpendicular to the radius of the circle at that point.
| 2. How can we find the equation of a tangent to a circle? | |
Ans. To find the equation of a tangent to a circle, we need the coordinates of the point of tangency and the center of the circle. Using these coordinates, we can determine the slope of the tangent line. With the slope and the point of tangency, we can use the point-slope form of a line to find the equation.
| 3. Can a circle have more than one tangent at a given point? | |
Ans. No, a circle can have only one tangent at a given point. This is because a tangent is a line that touches the circle at exactly one point and is perpendicular to the radius at that point. If there were more than one tangent, it would mean that there are multiple lines perpendicular to the same radius at the same point, which is not possible.
| 4. How does the length of the tangent to a circle compare to the radius? | |
Ans. The length of the tangent to a circle is equal to the radius of the circle if the tangent is drawn from the point of tangency. This is because the radius and the tangent form a right triangle, and by the Pythagorean theorem, the square of the length of the tangent is equal to the sum of the squares of the radius and the length of the segment of the radius from the center of the circle to the point of tangency.
| 5. Can a tangent to a circle intersect the circle at any other point than the point of tangency? | |
Ans. No, a tangent to a circle can only intersect the circle at the point of tangency. This is because a tangent is defined as a line that touches the circle at exactly one point. If it were to intersect the circle at any other point, it would cease to be a tangent.
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Dec 23, 2024 Last updated |
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