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Orthogonal Circles Video Lecture | Mathematics (Maths) for JEE Main & Advanced
FAQs on Orthogonal Circles Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What are orthogonal circles? |  |
Ans. Orthogonal circles are two circles that intersect at right angles, meaning their tangents at the point of intersection are perpendicular to each other.
| 2. How can you determine if two circles are orthogonal to each other? | |
Ans. Two circles are orthogonal if the distance between their centers is equal to the sum of their radii. In mathematical terms, the circles are orthogonal if the equation (x2 - x1)^2 + (y2 - y1)^2 = (r1 + r2)^2 is satisfied.
| 3. Can orthogonal circles have any other points of intersection besides the point of tangency? | |
Ans. No, orthogonal circles can only intersect at the point of tangency where their tangents are perpendicular. They will not intersect at any other point.
| 4. How do orthogonal circles relate to the concept of orthogonality in geometry? | |
Ans. Orthogonal circles demonstrate the concept of orthogonality as they intersect at right angles. This concept is similar to perpendicular lines in geometry.
| 5. Are there any real-world applications of orthogonal circles? | |
Ans. Yes, orthogonal circles are used in various applications such as computer graphics, engineering designs, and architecture for creating precise and accurate geometric shapes.
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