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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is - Business Mathematics and Statistics

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Question

Choose the correct alternative:

For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is

Options

  • `y(x) = (x - x_1)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`

  • `y(x) = (x_1 - x)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`

  • `y(x) = (x - x_1)/(x_0 - x_1) y_1 + (x - x_0)/(x_1 - x_0) y_0`

  • `y(x) = (x_1 - x)/(x_0 - x_1) y_1 + (x - x_0)/(x_1 - x_0) y_0`

MCQ

Solution

`y(x) = (x - x_1)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`

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Interpolation
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Chapter 5: Numerical Methods - Exercise 5.3 [Page 120]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 5 Numerical Methods
Exercise 5.3 | Q 11 | Page 120
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