Let a, b, c be non-zero real roots of th...

Let a, b, c be non-zero real roots of the equation `x^(3)+ax^(2)+bx+c=0`. Then

A

there are infinitely many such triples a, b, c

B

there is exactly one such triple a, b, c

C

there are exactly two such triples a, b, c

D

there are exactly three such triples a, b, c

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

KVPY 2021
KVPY PREVIOUS YEAR|Exercise PART-I Mathematics|19 Videos
KVPY
KVPY PREVIOUS YEAR|Exercise exercise|18 Videos
MOCK TEST 1
KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos

KVPY PREVIOUS YEAR-KVPY 2021-PART II MATHEMATICS

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0...
03:53
|
In a triangle ABC, the angle bisector BD of angleB intersects AC in D....
05:13
|
Len N be set of natural numbers. For n in N defiine I(n)=int(0)^(p...
05:16
|
Let a = BC, b = CA, c = AB be side lengths of a triangle ABC. And m b...
03:41
|