Question

All the polynomials of the order m pass through the point ____________

(a) (1, 1)

(b) (0, 0)

(c) (0, 1)

(d) (-1, 0)

The question was posed to me by my college director while I was bunking the class.

I need to ask this question from Adaptive Array topic in division Phased, Adaptive and Binomial Arrays of Antennas

Answer 1

Right choice is (a) (1, 1)

Easiest explanation: All the polynomials of the order m of the chebyshev pass through the point (x, Tm(x))

 = (1, 1).

T0(x) = 1

T1(x) = x

T2(x) = 2x^2-1

T3(x) = 4x^3-3x