Home
Class 12
MATHS
If the roots ax^(2)+bx+c=0 are both nega...

If the roots `ax^(2)+bx+c=0` are both negative and `b lt 0`, then

A

`a lt 0, c lt 0`

B

`a lt 0, c lt 0`

C

`a gt 0, c lt 0`

D

`a gt 0, c gt 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If x^(2)+bx+x=0 has no real roots and a+b+c lt 0 then

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation with roots (1)/(aalpha+b), (1)/(abeta+b) is

If the roots of ax^2+2bx+c=0 be possible and different then show that the roots of (a+c)(ax^2+2bx+2c)=2(ac-b^2)(x^2+1) will be impossible and vice versa

alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta are the roots of A x^(2)+2Bx+C=0 , then what is (b^(2)-ac)//(B^(2)-AC) equal to ?

If sin alpha and cos alpha are the roots of ax^(2) + bx + c = 0 , then find the relation satisfied by a, b and c .

If c lt 0 and ax^2 + bx + c = 0 does not have any real roots then prove that: (i) a-b + c lt 0 , (ii) 9a +3b +c lt 0

If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and roots of the equation are non-real complex and a+c < b , then

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)