Class 11 Mathematics · Chapter 9 · Test 2
Remainder Theorem Applications
36 MCQs Covers polynomial regression and digital signal processing: transfer functions, zeros, poles and stability.
36 questions · 30 min · 36 marks
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Sample questions
The first 5 of 36. Try each one, then tap to see the answer.
Question 1
In polynomial regression the relationship between the variables is modelled as:
- Aa straight line only
- Ban nth degree polynomial
- Can exponential curve
- Da constant
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Answer: B
Polynomial regression fits an nth degree polynomial to the data.
Question 2
Polynomial regression is used when the data shows:
- Aa perfectly linear relationship
- Bno relationship
- Ca constant value
- Da curved (non-linear) relationship
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Answer: D
It is used for curved relationships that still need a smooth continuous function.
Question 3
Digital signal processing (DSP) is used in digital devices to:
- Aanalyse or improve signals such as sound and images and sensor data
- Bstore files
- Cprint documents
- Dcompress text only
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Answer: A
DSP processes and improves signals like sound and images.
Question 4
In DSP the systems are represented by transfer functions in the:
- At-domain
- Bx-domain
- Cz-domain
- Dy-domain
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Answer: C
Transfer functions are written in the z-domain as H(z) = B(z)/A(z).
Question 5
The roots of the numerator polynomial B(z) of a transfer function give the:
- Apoles
- Bzeros
- Cstability
- Dgain
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Answer: B
Numerator roots are the zeros of the system.
More tests in Division of Polynomials
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