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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: The gradient (slope) of a curve at any point (x, y) is x2-4x2. If the curve passes through the point (2, 7), then the equation of the curve is - Mathematics

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Question

Choose the correct alternative:

The gradient (slope) of a curve at any point (x, y) is `(x^2 - 4)/x^2`. If the curve passes through the point (2, 7), then the equation of the curve is

Options

  • y = `x + 4/x + 3`

  • y = `x + 4/x + 4`

  • y = x2 + 3x + 4

  • y = x2 – 3x + 6

MCQ

Solution

y = `x + 4/x + 3`

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Chapter 11: Integral Calculus - Exercise 11.13 [Page 225]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.13 | Q 4 | Page 225
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