CUET Complex Number Previous Year Question Paper and Solution with PDF

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CUET Previous Year Questions (PYQs)

CUET Complex Number PYQ

Qus : 1 CUET PYQ

List I		List II
A.	Dog : Rabies :: Mosquito :	I.	Bacteria
B.	Amnesia : Memory :: Paralysis :	II.	Liver
C.	Meningitis : Brain :: Cirrhosis :	III.	Movement
D.	Influenza : Virus :: Typhoid :	IV.	Malaria

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CUET Previous Year PYQCUET CUET 2023 PYQ

Solution

Dog causes Rabies, Mosquito causes Malaria → A-IV

Amnesia affects Memory, Paralysis affects Movement → B-III

Meningitis affects Brain, Cirrhosis affects Liver → C-II

Influenza is caused by Virus, Typhoid is caused by Bacteria → D-I

Correct matching: A-IV, B-III, C-II, D-I

Qus : 2 CUET PYQ

Let $a=\cos \dfrac{2\pi}{7}+i\sin \dfrac{2\pi}{7}$, $\alpha=a+a^2+a^4$ and $\beta=a^3+a^5+a^6$. Then the equation whose roots are $\alpha,\beta$ is

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CUET Previous Year PYQ CUET CUET 2023 PYQ

Solution

Here $a^7=1$ and $1+a+a^2+\cdots+a^6=0$. $\alpha+\beta=a+a^2+a^3+a^4+a^5+a^6=-1$ Also, $\alpha\beta=(a+a^2+a^4)(a^3+a^5+a^6)=2$ Required equation: $x^2-(\alpha+\beta)x+\alpha\beta=0$ $\Rightarrow x^2+x+2=0$

Qus : 3 CUET PYQ

Math List I with List II : $\omega \ne1$ is a cube root of unity.

LIST I	LIST II
A. The value of $\frac{1}{9}(1-\omega)(1-{\omega}^2)(1-{\omega}^4)(1-{\omega}^8)\, $ is	I. 0
B. $\omega{(1+\omega-{\omega}^2)}^7$ ________ is equal to	II. 1
C. The least positive integer n such that ${(1+{\omega}^2)}^n={(1+{\omega}^4)}^n$ is	III. -128
D. $(1+\omega+{\omega}^2)$ is equal to	IV. 3

Choose the correct answer from the options given below:

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CUET Previous Year PYQ CUET CUET 2022 PYQ

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