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Examples : Tangents and Normals Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Examples : Tangents and Normals Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is a tangent line?
Ans. A tangent line is a straight line that touches a curve at a specific point, known as the point of tangency. It has the same slope as the curve at that point.
2. How do you find the equation of a tangent line?
Ans. To find the equation of a tangent line to a curve at a given point, you need to find the derivative of the curve, evaluate it at the given point to find the slope, and then use the point-slope form of a line to write the equation.
3. What is the difference between a tangent and a normal line?
Ans. A tangent line touches a curve at a specific point and has the same slope as the curve at that point, while a normal line is perpendicular to the tangent line and has a slope that is the negative reciprocal of the tangent line's slope.
4. How do you determine if two lines are tangent to a curve?
Ans. Two lines are tangent to a curve if they touch the curve at the same point and have the same slope as the curve at that point. You can determine this by finding the derivative of the curve and evaluating it at the point of contact.
5. Can a curve have multiple tangent lines at the same point?
Ans. No, a curve can have only one tangent line at a specific point. The tangent line represents the instantaneous rate of change of the curve at that point, and there can only be one unique rate of change at any given point.
204 videos|288 docs|139 tests

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