The roots of `a_1x^2+b_1x + c_1=0`are reciprocal of the roots of the equation `a_2x^2 +b_2x+c_2=0` if

The roots of a_(1)x^(2)+b_(1)x+c_(1)=0 are reciprocal of the roots of the equation a_(2)x^(2)+b_(2)x+c_(2)=0 if

If one root of the equation ax^(2) + bx + c =0 is reciprocal of the one root of the equation a_(1)x^(2) + b_(1) x + c_(1) = 0 , then :

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

Show that one of the roots of equation ax^2+bx+c=0 may be reciprocal of one of the roots of a_1x^2+b_1x+c_1=0 if (aa_1-c c_1)^2=(bc_1-ab_1)(b_1c-a_1b)

Show that one of the roots of equation ax^2+bx+c=0 may be reciprocal of one of the roots of a_1x^2+b_1x+c_1=0 if (aa_1-c c_1)^2=(bc_1-ab_1)(b_1c-a_1b)

The condition that a root of ax^2+bx +c=0 may be the reciprocal of a root of a_1 x^2+b_1x +c_1=0 is

If the roots of a_1x^2 + b_1x+ c_1 = 0 are alpha_1 ,beta_ 1 and those of a_2x^2+b_2x+c_2=0 are alpha_2,beta_2 such that alpha_1alpha_2=beta_1beta_2=1 then

If the ratio of the roots of the equation a x^(2)+b x+c=0 is equal to the ratio of the roots of the equation x^(2)+x+1=0 , then a, b , c are in

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot