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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA Complex Number PYQ

CUET PG MCA 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 PG MCA Previous Year PYQCUET PG MCA 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
CUET PG MCA 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 PG MCA Previous Year PYQ CUET PG MCA 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: $x^2-(\alpha+\beta)x+\alpha\beta=0$ $\Rightarrow x^2+x+2=0$
CUET PG MCA 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)\, $ isI. 0 
B. $\omega{(1+\omega-{\omega}^2)}^7$ ________ is equal to II. 1 
C. The least positive integer n such that ${(1+{\omega}^2)}^n={(1+{\omega}^4)}^n$ isIII. -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 PG MCA Previous Year PYQ CUET PG MCA CUET 2022 PYQ

Solution


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