If `a in (-1,1),` then roots of the quadratic equation `(a-1)x^2+a x+sqrt(1-a^2)=0` are a. real b. imaginary c. both equal d. none of these

Find the roots of the quadratic equation: a^(2)b^(2)x^(2)+b^(2)x-a^(2)x-1=0

Find the roots of the quadratic equation a^(2)b^(2)x^(2)+b^(2)x-a^(2)x-1=0

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

If both roots of quadratic equation (alpha+1)x^(2)-21-(1+3 alpha)x+1+8 alpha=0 are real and distinct then alpha be

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 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