Home
Class 12
MATHS
IF a,b,c are real determine the nature o...

IF a,b,c are real determine the nature of the roots of the equation `ax^2+bx+c=0` under following conditions:
`b^2gt4ac,abgt0,acgt0`

Text Solution

Verified by Experts

The correct Answer is:
`alphabetagt0`Therefore both roots of equation (1) are negative
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos
  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos
  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

IF a,b,c are real determine the nature of the roots of the equation ax^2+bx+c=0 under following conditions: b^2gt4ac,ablt0,acgt0

The roots of the equation ax^2+bx+c=0 are equal when-

IF a,b,c are in G.P prove that the roots of the equation ax^2+2bx+c=0 are equal.

IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) are-

IF a=0 and b=0 then both roots of the equation ax^2+bx+c=0 are-

If the roots of the equation ax^2+bx+c=0(a!=0) be equal then

If a, b, c are in arithmetic progression, then the roots of the equation ax^2-2bx+c=0 are

If the roots of the equation ax^(2)+bx+c=0(ane0) be equal, then

If a ,b ,c , are in A.P then the roots of the equation ax^(2)-2bx+c=0

IF a,b,c are rational and a+b+c=0, show that the roots of the equation ax^2+bx+c=0 are rational.