The roots of the quadratic equation `x^2 + (2018^2 + 2017^2)x – (4035)^2 = 0` are (A) Imaginary (B) Real and Equal (C) Real and are of opposite Sign (D) Real and are of Same Sign

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

ax+by+cz=0,bx+cy+az=0,cx+ay+bz=0 has a non-trivial solution,then the roots of the equation at^(2)+bt+c=0, are ( A) imaginary (B) real and distinct (C) real and of opposite sign (D) real and equal

The roots of the same quadratic equation ax^2 + 2bx + c = 0 (a ne 0) are real and equal then b^2 = _______

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

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 n and r are positive integers such that 0ltrltn then roots of the equation ^nC_r x^2+2.^nC_(r+1)x+^nC_(r+2)=0 are necessarily (A) imaginary (B) real and equal (C) real and unequal (D) real but may be equal or unequal

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 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