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Choose the correct option from the given alternatives : The equation of the tangent to the curve y = 1-ex2 at the point of intersection with Y-axis is - Mathematics and Statistics

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Question

Choose the correct option from the given alternatives :

The equation of the tangent to the curve y = `1 - e^(x/2)` at the point of intersection with Y-axis is

Options

  • x + 2y = 0

  • 2x + y = 0

  • x – y = 2

  • x + y = 2

MCQ

Solution

x + 2y = 0
[Hint: The point of intersection of the curve with Y-axis is the origin (0 0)].

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Applications of Derivatives in Geometry
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Chapter 2: Applications of Derivatives - Miscellaneous Exercise 1 [Page 92]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 2 Applications of Derivatives
Miscellaneous Exercise 1 | Q 8 | Page 92

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