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Tangents on Ellipse Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Tangents on Ellipse Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the equation of the tangent to an ellipse at a given point? |  |
Ans. The equation of the tangent to an ellipse at a given point (x₁, y₁) is given by: (xx₁) / a² + (yy₁) / b² = 1.
| 2. How do you find the point of tangency on an ellipse? | |
Ans. To find the point of tangency on an ellipse, first differentiate the equation of the ellipse with respect to x. Then, substitute the x-coordinate of the point of tangency into the derivative to find the corresponding y-coordinate.
| 3. Can a tangent to an ellipse be vertical or horizontal? | |
Ans. Yes, a tangent to an ellipse can be vertical or horizontal depending on the orientation of the ellipse. A vertical tangent occurs when the ellipse is taller than it is wide, while a horizontal tangent occurs when the ellipse is wider than it is tall.
| 4. How many tangents can be drawn to an ellipse from a point outside the ellipse? | |
Ans. There can be two tangents drawn to an ellipse from a point outside the ellipse. These tangents are always symmetrical with respect to the major axis of the ellipse.
| 5. What is the geometric interpretation of a tangent to an ellipse? | |
Ans. The tangent to an ellipse at a given point represents a line that just touches the ellipse at that point without intersecting it. This line is perpendicular to the radius of the ellipse at that point.
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Nov 22, 2024 Last updated |
Video Description: Tangents on Ellipse for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
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