If a,b,c are positive rational numbers s...

If a,b,c are positive rational numbers such that `agtbgtc` and the quadratic eqution `(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)=0` has a root of the interval (-1,0) then (A) `c+alt2b` (B) the roots of the equation are rational (C) the roots of are imaginary (D) none of these

Similar Questions

Explore conceptually related problems

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equation (a+b-2c) x ^(2) + (b+c-2a) x+ (c+a-2b)=0 has a root in the interval (-1,0) then which of the following statement (s) is/are correct ?

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

If a,b,c in R and the quadratic equation x^(2)+(a+b)x+c=0 has no real roots then

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

If a(b-c)x^(2)+b(c-a)x+c(a-b)=0 has equal root,then a,b,c are in

Consider the equation (a+c-b)x^(2)+2cx+(b+c-a)=0 where a b,c are distinct real number.suppose that both the roots of the equation are rational then

If a,b,c are positive rational numbers such that `agtbgtc` and the quadratic eqution `(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)=0` has a root of the interval (-1,0) then (A) `c+alt2b` (B) the roots of the equation are rational (C) the roots of are imaginary (D) none of these

Similar Questions

Recommended Questions