Home
Class 12
MATHS
If c gt0 and 4a+clt2b then ax^(2)-bx+c=0...

If `c gt0` and `4a+clt2b` then `ax^(2)-bx+c=0` has a root in the interval

A

(0,2)

B

(2,4)

C

(0,1)

D

(-2,0)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); a, b,in N , then the least value of a , is

If ax^(2)-bx+c=0 have two distinct roots lying int eh interval (0,1),a,b,c epislonN The least value of log_(5)abc is

Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx+c=0, beta is the zero of a^2x^2-bx-c=0 and 0 , alpha < beta then prove that the equation a^2x^2+2bx+2c=0 has a root gamma that always satisfies alpha < gamma < beta.

If ax^(2)+bx+c=0 have two distinct roots lying int eh interval (0,1),a,b,c epsilon N The least value of b is

If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of the equation will be real if

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has atleast one real root between 0 to 1.

Statement -1 If the equation (4p-3)x^(2)+(4q-3)x+r=0 is satisfied by x=a,x=b nad x=c (where a,b,c are distinct) then p=q=3/4 and r=0 Statement -2 If the quadratic equation ax^(2)+bx+c=0 has three distinct roots, then a, b and c are must be zero.

Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbeta,w h e r ealpha >1 , then show that 1+c/a+|b/a|<0

If a,b, c epsilon R(a!=0) and a+2b+4c=0 then equation ax^(2)+bx+c=0 has