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How to find the tangents from a point outside a circle

Welcome back to the channel! 🚀 In this video, we explore the method for finding the equations of the two tangents drawn from a given external point to a circle. We start by reviewing the general equation of a circle and explaining the concept of tangency. What You’ll Learn in This Video: ✅ The geometric interpretation of tangents to a circle from an external point ✅ How to write the equation of a generic line passing through the given point ✅ The tangency condition: ensuring the distance from the center to the line equals the radius ✅ Step-by-step algebraic derivation to determine the slope of the tangents ✅ How to use the found slopes to write the final equations of the tangents Example Problem: We apply the method to a specific example where a point P is outside a given circle. By solving the system of equations, we determine the two tangent lines and verify their correctness. Timestamps: 🔹 00:00 – Introduction 🔹 00:27 – Understanding the problem: External tangents to a circle 🔹 01:07 – Writing the equation of a line through the given point 🔹 01:22 – Explaining the tangency condition 🔹 01:44 – Example problem with a step-by-step solution 🔹 02:04 – Find the centre and radius of the circle 🔹 03:35 – Equation of line passing through P 🔹 04:02 – Tangency condition 🔹 05:04 – Distance between a point and a line 🔹 07:27 – Writing the final tangent equations 🔹 08:04 – Conclusion By the end of the video, you’ll have a clear understanding of how to construct the equations of tangents from an external point to a given circle. 🔔 Subscribe for more math tutorials and problem-solving techniques! 📌 Don’t forget to like, share, and comment if you found this helpful! Reference videos: 📌Distance from a point to a line:    • How to find the distance from a point...   📌Circle equation:    • Equation of a circle in the cartesian...   Keywords: Circle equation, Tangent line, External point, Radius, Center of the circle, Distance formula, Tangency condition, Quadratic equation, Intersection points, Perpendicular radius, Completing the square, Discriminant method.