JEE Advanced · Quantitative Aptitude

JEE Advanced Cube Roots Of Unity Questions with Answers and Solutions

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JEE Advanced Cube Roots Of Unity practice

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Match each entry in List-I to the correct entry in List-II and choose the correct option.

List-I	List-II
(P) If $\alpha$ and $\beta$ are the distinct roots of the equation $x^2 + x + 1 = 0$ , then the quadratic equation with roots $\frac{1}{(\alpha+1)^{2026}}$ and $\frac{1}{(\beta+1)^{2026}}$ is	(1) $x^2 + x + 1 = 0$

| (Q) If

\alpha

and

\beta

are the distinct roots of the equation

x^2 + x + 1 = 0

, then the quadratic equation with roots

\frac{1}{(\alpha+1)^{2027}}

and

\frac{1}{(\beta+1)^{2027}}

is | (2)

x^2 - x + 1 = 0

| | (R) If

\gamma

and

\delta

are the distinct roots of the equation

x^2 - x + 1 = 0

, then the value of

\frac{1}{(\gamma-1)^{2026}} + \frac{1}{(\delta-1)^{2026}}

is | (3)

x^2 + x - 1 = 0

| | (S) If

p

and

r

are the distinct roots of the equation

x^2 + x - 1 = 0

, then the value of

\frac{1}{(p+1)^3} + \frac{1}{(r+1)^3}

is | (4)

-1

| | (5)

-4

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JEE Advanced Cube Roots Of Unity practice

What visitors can use on this page

JEE Advanced Cube Roots Of Unity practice FAQ

Prepare together, not alone

JEE Advanced Cube Roots Of Unity practice

What visitors can use on this page

JEE Advanced Cube Roots Of Unity practice FAQ