If `a,b` are roots of the equation `x^2 + qx + 1 = 0` and `c,d `are roots of `x^2 + px + 1 = 0,` then the value of `(a-c) (b-c)(a+d) (b+d)` will be

If a, b are the real roots of x^(2) + px + 1 = 0 and c, d are the real roots of x^(2) + qx + 1 = 0 , then (a-c)(b-c)(a+d)(b+d) is divisible by

If a, b are the real roots of x^(2) + px + 1 = 0 and c, d are the real roots of x^(2) + qx + 1 = 0 , then (a-c)(b-c)(a+d)(b+d) is divisible by

Let a , b and be the roots of the equation x^2-10 xc -11d =0 and those roots of c and d of x^2-10 a x-11 b=0 ,dot then find the value of a+b+c+d

Let a and b be the roots of the equation x^2-10 c x-11 d=0 and those of x^2-10 a x-11 b=0 are c and d and then find the value of a+b+c+d

Let a and b are the roots of the equation x^2-10 xc -11d =0 and those of x^2-10 a x-11 b=0 ,dot are c and d then find the value of a+b+c+d

If a,b are the roots of quadratic equation x^(2)+px+q=0 and g,d are the roots of x^(2)+px-r-0, then (a-g)*(a-d) is equal to:

Let a, b be the roots of the equation x^(2) - 4 x +k_(1) = 0 and c , d the roots of the equation x^(2) - 36 x + k_(2) = 0 If a lt b lt c lt d and a, b,c,d are in G.P. then the product k_(1) k_(2) equals

If a, b are the roots of equation x^(2)-3x + p =0 and c, d are the roots of x^(2) - 12x + q = 0 and a, b, c, d are in G.P., then prove that : p : q =1 : 16

Given that a,c are the roots of the equation px^2-3x+2=0 and b,d are the roots of the equation qx^2-4x+2=0 , find the values of p and q such that 1/a,1/b,1/c and 1/d are in A.P.