35. The expression `ax^2 + 2bx + b` has same sign as that of ` b` for every, real x, then the roots of equation `bx^2+(b-c)x+b-c-a=0` are

The expression ax^2+2bx+b has same sign as that of b for every real x, then the roots of equation bx^2+(b-c)x+b-c-a=0 are (A) real and equal (B) real and unequal (C) imaginary (D) none of these

The expression ax^2+2bx+b has same sign as that of b for every real x, then the roots of equation bx^2+(b-c)x+b-c-a=0 are (A) real and equal (B) real and unequal (C) imaginary (D) none of these

The expression ax^2+2bx+c , where 'a' is non-zero real number, has same sign as that of 'a' for every real value of x,then roots of quadratic equation ax^2+ (b-c) x-2b-c -a-0 are: (a) real and equal (b) real and unequal (c) non-real having positive real part(d) non-real having negative real part

The expression ax^(2)+2bx+c, where 'a' is non-zerr real number,has same sign as that of a' for every real value of x,then roots of quadratic equation ax^(2)+(b-c)x-2b-c-a-0 are: (a) real and equal (b) real and unequal (c) non-real having positive real part(d) non-real having negative real part

LET the equation ax^2+bx+c=0 has no real roots Assertion (A): c(a+b+c)gt0 , Reason (R): A quadratic expression ax^2+bx+c has signs same as that of al for all real x if the roots of the corresponding equation ax^2+bx+c=0 are imaginary. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

LET the equation ax^2+bx+c=0 has no real roots Assertion (A): c(a+b+c)gt0 , Reason (R): A quadratic expression ax^2+bx+c has signs same as that of al for all real x if the roots of the corresponding equation ax^2+bx+c=0 are imaginary. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

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

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