GATE Numerical Analysis: Interpolation – Previous Year Questions
5 GATE previous year questions on Interpolation (Numerical Analysis, Mathematics) with answers and explanations, from every paper.
- GATE 2021 MA Q32 – A cubic p(x)=α+β(x+2)+γ(x+2)(x+1)+δ(x+2)(x+1)x interpolates values at x=(−2,−1,0,1,2) of (2,−1,8,5,−34). Find α+β+γ+δ.
- GATE 2022 MA Q30 – P is a degree-5 polynomial and x₀,…,x₆ are distinct in [2,3]. Let = i=06P(x i) j i(x i-x j)-1. Find α²−α+1.
- GATE 2023 MA Q28 – Let p(x)=x³−2x+2. The polynomial q of degree at most 4 interpolates q(−2)=p(−2),q(−1)=p(−1),q(0)=2.5,q(1)=p(1),q(3)=p(3). Find q⁽⁴⁾(0).
- GATE 2024 MA Q32 – P f is the degree-at-most-two interpolant to f at a−h,a,a+h, h>0. Find the largest degree d for which every polynomial g of degree d satisfies g″(a)=P…
- GATE 2024 MA Q33 – P f is the quadratic interpolant of f(x)=x² x at −1,0,1. Find sup on [−1,1] of f−P f , to two decimals.