Discuss the signs of the roots of the equation `px^2+qx + r=0 `

The ratio of the roots of the equation ax ^2 + bx +c=0 is same as the ratio of the roots of the equation px^2 + qx +r=0 . If D_1 and D_2 are the discrimination of ax ^2 + bx + c=0 and px^2 +qx +r =0 respectively , then D_1 :D_2 =

If the ratio of the roots of the equation px^(2) + qx + r=0 is a:b, then (ab)/(a+b)^(2) =

If the roots of the equation q^2 x^2 + p^2 x + r^2 =0 are the squares of the roots of the equation qx^2 + px + r=0 , then p,q,r are in ………………….. .

If the roots of the equation ax^(2)+bx+c=0 are the reciprocals of the roots of the equation px^(2)+qx+r=0 then

If p, q, r are in H.P. and p and r be different having same sign then the , roots of the equation px^(2)+qx+r=0 are (A) Real and equal (B) Real and distinct (C) Irrational (D) Imaginary

If p,q, rin harmonic progression and p & r be different having same sign then the roots of the equation px^(2)+qx+r=0 are (A) real and equal(B) real and distinct (C) irrational (D) imaginary

If the roots of the equation q^(2)x^(2)+p^(2)x+r^(2)=0 are the squares of the roots of the equation qx^(2)+px+r=0 , are the squares of the roots of the equation qx^(2)+px+r=0 , then q, p, r are in: