Match List I with List II List I List II A. The value of (1-w 4 ) (1-w 8 ) is I. 0 B. w(1+w-w 2 ) 7 ________ is equal to II. 1 C. The least positive integer n such that is (1+w 2 ) n =(1+w 4 ) n III. –128w 2 D. (1+w+w 2 ) is equal to IV. 3 Choose the correct answer from the options given below:

A – II; B – III; C – IV; D – I Explanation: Part A: Finding the value of Given: Explanation: Using the property : Substitute these into the expression: Now, expand : Since : Finally, the value is: Result: Matches with II . Part B: Finding the value of Given: Explanation: Using the property : Calculate the power: Since : Result: Matches with III . Part C: Finding the least positive integer such that Given: Explanation: Using the property and : Divide both sides by : The least positive integer for which is . Result: Matches with IV . Part D: Finding the value of Given: Explanation: This is a direct identity of the cube roots of unity. Result: Matches with I . Final Match Summary: List I List II A II (1) B III ( ) C IV (3) D I (0) The final answer matches the option: A – II; B – III; C – IV; D – I .

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CUET PG 2022 — Mathematics PYQ

CUET PG | Mathematics | 2022

Match List I with List II

	List I		List II
A.	The value of $\frac{1}{9} (1 - w) (1 - w^{2})$ (1-w⁴) (1-w⁸) is	I.	0
B.	w(1+w-w²)⁷ ________ is equal to	II.	1
C.	The least positive integer n such that is (1+w²)ⁿ=(1+w⁴)ⁿ	III.	–128w²
D.	(1+w+w²) is equal to	IV.	3

Choose the correct answer from the options given below:

CUET PG 2022 — Mathematics PYQ

Choose the correct answer:

Explanation

Part A: Finding the value of $\dfrac{1}{9}(1-\omega)(1-\omega^2)(1-\omega^4)(1-\omega^8)$

Part B: Finding the value of $(1+\omega-\omega^2)^7$

Part C: Finding the least positive integer $n$ such that $(1+\omega^2)^n = (1+\omega^4)^n$

Part D: Finding the value of $(1+\omega+\omega^2)$

Final Match Summary: