If a,b,c are roots of `x^3-px^2+qx-r=0` and r `ne` 0, then find `(1)/(a^2)+(1)/(b^2)+(1)/(c^2)` in terms of p,q,r.

If alpha , beta , gamma are the roots of x^3 -px^2 +qx -r=0 and r ne 0 then find (1)/( alpha^2) +(1)/( beta^2) +(1)/( gamma ^2) in terms of p,q ,r

If alpha , beta , gamma are the roots of x^3 -px^2 +qx -r=0 and r ne 0 then find (1)/( alpha^2) +(1)/( beta^2) +(1)/( gamma ^2) in terms of p,q ,r

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum (1)/( alpha )

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum (1)/( alpha )

If a,b and c are the roots of x^(3) +qx+r=0 , then (a-b)^(2) +(b-c)^(2) +(c-a)^(2) =

If alpha , beta gamma are the roots of the equation x^3+px^2+qx+r=0 , then (1-alpha^2)(1-beta^2)(1-gamma^2) is equal to (a) (1+q)^2-(p+r)^2 (b) (1+q)^2+(p+r)^2 (c) (1-q)^2+(p-r)^2 (d) none of these

If alpha , beta gamma are the roots of the equation x^3+px^2+qx+r=0 , then (1-alpha^2)(1-beta^2)(1-gamma^2) is equal to (a)    (1+q)^2-(p-r)^2    (b)    (1+q)^2+(p+r)^2 (c)    (1-q)^2+(p-r)^2    (d)   none of these

If roots of ax^(2) + bx + c = 0 are 2 , more than the roots of px^(2) + qx + r = 0 , then the value of c in terms of p,q and r is

If a,b are roots of x^2+px+q=0 and c,d are the roots x^2-px+r=0 then a^2+b^2+c^2+d^2 equals (A) p^2-q-r (B) p^2+q+r (C) p^2+q^2-r^2 (D) 2(p^2-q+r)

If a,b are roots of x^2+px+q=0 and c,d are the roots x^2-px+r=0 then a^2+b^2+c^2+d^2 equals (A) p^2-q-r (B) p^2+q+r (C) p^2+q^2-r^2 (D) 2(p^2-q+r)