Chebyshev Polynomials Fundamentals MCQ’s

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This set of Antenna Multiple Choice Questions & Answers (MCQs) focuses on “Chebyshev Polynomials Fundamentals”.

1. The recurrence relation for the Chebyshev polynomial is __________
a) Tm(z) = 2zTm-1(z) – Tm-2(z)
b) Tm (z) = Tm-1(z) – 2zTm-2(z)
c) Tm(z) = 2zTm(z) – Tm-2(z)
d) Tm(z) = 2zTm(z) – Tm-1(z)

2. Which of the following is holds true for the Chebyshev polynomial?
a) Tm(-x) = (-1)m Tm(x)
b) Tm(-x) = (-1)m Tm-1(1/x)
c) Tm(x) = (-1)m Tm(1/x)
d) Tm(-x) = (-1)m Tm-1(x)

3. What is the value of Tm (0) when m is an even number?
a) 0
b) (-1)m
c) -1
d) (-1)m/2

4. The value of Tm(-1)=_______
a) (-1)m
b) (-1)m-1
c) (-1)m/2
d) (-1)2m

5. The value of Tm(0) for every odd value of m is _____________
a) 0
b) 1
c) -1
d) m

6. The value of T0(100) is _____
a) 1
b) 100
c) 10000
d) 200

7. The value of Tm(z) in the range between -1 to 1 is ____
a) -1 to 1
b) 1
c) 0
d) 0 to infinity

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