GATE XE (Engineering Sciences) 2016 - Question 15

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Section: Engineering Mathematics | Marks: 1

Let 𝑃𝑃(π‘₯π‘₯) and 𝑄𝑄(π‘₯π‘₯) be the polynomials of degree 5, generated by Lagrange and Newton interpolation methods respectively, both passing through given six distinct points on the π‘₯π‘₯π‘₯π‘₯-plane. Which of the following is correct?

  • A. 𝑃𝑃(π‘₯π‘₯) ≑𝑄𝑄(π‘₯π‘₯)
  • B. 𝑃𝑃(π‘₯π‘₯) βˆ’ 𝑄𝑄(π‘₯π‘₯) is a polynomial of degree 1
  • C. 𝑃𝑃(π‘₯π‘₯) βˆ’ 𝑄𝑄(π‘₯π‘₯) is a polynomial of degree 2
  • D. 𝑃𝑃(π‘₯π‘₯) βˆ’ 𝑄𝑄(π‘₯π‘₯) is a polynomial of degree 3

Answer: A. 𝑃𝑃(π‘₯π‘₯) ≑𝑄𝑄(π‘₯π‘₯)

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