If a,b and c are the roots of the equati...

If a,b and c are the roots of the equation `x^3+2x^2+1=0`, find `|[a,b,c],[b,c,a],[c,a,b]|`.

A

8

B

`-8`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

QUADRATIC EQUATIONS
VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|44 Videos
QUADRATIC EQUATIONS
VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
PROBABILITY
VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos
SEQUENCE AND SERIES
VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If a,b and c are the roots of the equation x^(3)+2x^(2)+1=0, find det[[a,b,cb,c,ac,a,b]]

if a,b and c are the roots of the equation x^3+2x^2+1=0 , find |{:(a,b,x),(b,c,a),(c,a,b):}|

If a , b , c , are roots of the equation x^3+p x+q=0, prove that |[a ,b, c],[ b ,c, a],[ c, a, b]|=0

If f(x) =a+bx+cx^(2) and alpha,beta "and" gamma are the roots of the equation x^(3)=1 , then |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

If a,b are the roots of the equation x^(2)+x+1=0, thn a^(2)+b^(2)= a.1b.2c-1d.3

If a ,\ b ,\ c are roots of the equation x^3+p x+q=0 , prove that |a b c b c a c a b|=0 .

If a, b, c are the roots of the equation x^3-12x^2+39x-21=0 then find the value of the determinant |[a, b-c, c+b] , [ a+c, b, c-a] , [a-b, b+a, c]|

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0 , then b^2= a^2-2a c (b) a^2+2a c (c) a^2-a c (d) a^2+a c

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)

If a,b and c are the roots of the equation x^3+2x^2+1=0, find |[a,b,c]...
Text Solution
|
Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\...
Text Solution
|
Let a, b, c, d be distinct integers such that the equation (x - a) (x ...
Text Solution
|
Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=(1), wher...
Text Solution
|
The number of positive integral values of m, m le 16 for which the equ...
Text Solution
|
If the equatio (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then ...
Text Solution
|
The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...
Text Solution
|
The integral values of x for which x^2 +17x+71 is perfect square of a ...
Text Solution
|
Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...
Text Solution
|
The number of real values of 'a' for which the largest value of the fu...
Text Solution
|
The number of all values of n, (whre n is a whole number ) for which t...
Text Solution
|
The number of negative intergral values of m for which the expression ...
Text Solution
|
If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...
Text Solution
|
The smallest value of k for which both the roots of the equation x^2-8...
Text Solution
|
If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=
Text Solution
|
The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...
Text Solution
|
The curvey y = (a +1) x ^(2) + 2 meets the curve y = ax +3, a ne -1 in...
Text Solution
|
Find the number of integral vaues of 'a' for which the range of functi...
Text Solution
|
When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...
Text Solution
|
Let p (x) be a polynomial equation of least possible degree, with rati...
Text Solution
|
The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=...
Text Solution
|