If alpha1 , alpha2 ,……….,alphan are the...

If` alpha_1 , alpha_2 ,……….,alpha_n` are the roots of `x^n + px + q = 0 ` , then `(alpha_n - alpha_1) (alpha_n - alpha_2) ………(alpha_n - alpha_(n-1) ) = `

A

`(1 + p_(2) + p_(4) …. )^(2) + (p_(1) + p_(3) + p_(5) … )^(2)`

B

`(1 - p_(2) + p_(4) …. )^(2) + (p_(1) - p_(3) + p_(5) … )^(2)`

C

`(1 + p_(2) + p_(4) …. )^(2) -(p_(1) + p_(3) + p_(5) … )^(2)`

D

`(1 - p_(2) + p_(4) …. )^(2) - (p_(1) - p_(3) + p_(5) … )^(2)`

Text Solution

Verified by Experts

The correct Answer is:

2

Promotional Banner

Promotional Banner

Topper's Solved these Questions

THEORY OF EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos
THEORY OF EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos
THEORY OF EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos
THEORETICAL DISTRIBUTIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos
TRANSFORMATION OF AXES
DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

If 1,alpha_1,alpha_2,…..alpha_(n-1) are the n^(th) roots of unity then (1-alpha_1)(1-alpha_2)…..(1-alpha_(n-1))=

If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4)+ alpha^(3)+ 3alpha^(2)+ 5beta+3=

If 1,alpha_1,alpha_2,…..alpha_(n-1) are the n^(th) roots of unity and n is an odd natural number then (1+alpha_1)(1+alpha_2)…..(1+alpha_(n-1))=

If alpha , beta are the roots of x^2 +x+1=0 then alpha // beta + beta // alpha =

1,alpha_1,alpha_2,alpha_3…..alpha_(n-1) are the n^(th) roots of unity and n is an even natural number ,then (1+alpha_1)(1+alpha_2)(1+alpha_3)….(1+alpha_(n-1))=

If alpha, beta ,gamma are roots of x^(3) + px^(2) + qx + r = 0 then sum (1)/(alpha^(2)) =

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A

If alpha, beta,gamma are roots of x^(3) - px^(2) + qx - r = 0 then su...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) - px^(2) + qx - r = 0 then s...
Text Solution
|
If alpha, beta,gamma are roots of x^(3) - px^(2) + qx - r = 0 then al...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) - px^(2) + qx - r = 0 then (...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0, then ...
Text Solution
|
If alpha, beta, gamma are roots of the equation 3x^(3) + 6x^(2) - 9x...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0, then ...
Text Solution
|
If alpha, beta, gamma are roots of the equation x^(3) - 6x^(2) + 11x...
Text Solution
|
Suppose alpha, beta, gamma are the roots of x^(3)+x^(2)+x+2=0. Then th...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) + ax^(2) + bx + c = 0 then su...
Text Solution
|
If alpha, beta, gamma are roots of x^(3) - ax^(2) + bx + c = 0 then (...
Text Solution
|
If alpha, beta, gamma are roots of the equation x^(3) - px^(2) + qx - ...
Text Solution
|
If alpha, beta, gamma,delta are roots of x^(4) - 4x^(2) - x + 2 = 0 t...
Text Solution
|
If alpha1 , alpha2 ,……….,alphan are the roots of x^n + px + q = 0 , ...
Text Solution
|
If alpha1 , alpha2 ,……….,alphan are the roots of x^n + px + q = 0 , ...
Text Solution
|
if (5x^(2) +2)/(x^(3)+x)=(A(1))/(x)+(A(2)x+A(3))/(x^(2)+1), then (A(...
Text Solution
|
If alpha, beta, gamma are roots of equation x^(3) - 10x^(2) + 7x + 8 ...
Text Solution
|
Let alpha,beta,gamma be the roots of x^(3)+x+10=0 and alpha(1)=(alpha+...
Text Solution
|
The real number k for which the equation, 2x^(3) + 3x + k = 0 has two ...
Text Solution
|
The number of real roots of the equation x^(5) + 3x^(3) + 4x + 30 = 0 ...
Text Solution
|