[" If the roots of "ax^(2)+bx+c=0],[" and "px^(2)+qx+r=0" differ by the "],[" same quantity,then "(b^(2)-4ac)/(q^(2)-4pr)=]

IF ax^2 + 2bx +c=0 , and px^2 + 2 qx + r=0

If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k are the roots of px^(2)+qx+r=0 , then (b^(2)-4ac)/(q^(2)-4pr)=

If the ratio of the roots of ax^(2) +2bx+c=0 is same as the ratio of the px^(2)+2qx +r= 0 , then prove that (b^(2))/(ac)= (q^(2))/(pr)

If the roots of the equation ax^2+bx+c=0 differ by K then b^(2)-4ac=

If alpha and beta are roots of ax^(2)+bx+c=0 ,and roots differ by k then b^(2)-4ac=

Find the derivative of (ax^(2)+bx+c)/(px^(2)+qx+r)

Let alpha_(1),alpha_(2) and beta_(1),beta_(2) be the roots of ax^(2) + bx + c = 0 and px^(2) + qx + r = 0 respectively. If the system of equations alpha_(1)y + alpha_(2)z= 0 and beta_(1) y + beta_(2) z = 0 has a non - trivial solution, then a) b^(2) pr = q^(2) ac b) bpr^(2) = qac^(2) c) bp^(2)r = qa^(2)c d)None of these

If 'alpha and beta are roots of ax^(2)+bx+c=0 ,and roots differ by k then b^(2)-4ac=