a. b, c are rational, one root of ax^2 +bx is irrational then (A) a = b = c = 0 (C) `b^2-4ac=0` (B) the other root is also irrational (D) none ofthese

In a quadratic equation ax^(2) + bx + c = 0 "if" b^(2) - 4ac gt 0 then their roots are ….

The equation ax^2+ bx + c=0, if one root is negative of the other, then: (A) a =0 (B) b = 0 (C) c = 0 (D) a = c

If a=c=4b , then the roots of ax ^(2) + 4 bx + c =0 are

Statement 1: If a,b,c are all rational and one of the roots of the equation ax^(2)+bx+c=0 is 2-sqrt(5) then the other root is 2+sqrt(5) . Statement 2: In any quadratic equation with rational coefficients,the irrational roots always occur in the conjugate pair.

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

If the roots of ax^2+bx+c=0 are real and equal then.......a) b^2-4aclt0 b) b^2-4ac=0 c) b^2-4acgt0 d) Cannot say

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