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

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+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

The roots of the equation a^(2)x^(2)+(a+b)x-b^(2)=0(a,b!=0) are :(A) real and different (B) real and equal (C) imaginary (D) None

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

If the roots of the equation x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation x^(2)-2(a+b)x+(a^(2)+b^(2)+2c^(2))=0 are: (a) real and unequal (b) real and equal (c) imaginary (d) rational

If a+b+c=0, then roots of the equation 3ax^(2)+4bx+5c=0 are (A) Positive (B) negative (C) Real and distinct (D) imaginary