If `p,q in R` then the equation `(x^2+ (1-p)x + cos 7^@)(x^2+(q+3)x-sin 83^@)=0` can have

If p and q are the roots of the equation x^2-p x+q=0 , then

If p and q are roots of the equation 2x^2-7x+3 then p^2+q^2=

The roots of the equation (q- r) x^(2) + (r - p) x + (p - q)= 0 are

If each pair of the three equations x^(2) - p_(1)x + q_(1) =0, x^(2) -p_(2)c + q_(2)=0, x^(2)-p_(3)x + q_(3)=0 have common root, prove that, p_(1)^(2)+ p_(2)^(2) + p_(3)^(2) + 4(q_(1)+q_(2)+q_(3)) =2(p_(2)p_(3) + p_(3)p_(1) + p_(1)p_(2))

The roots of the equation (q-r)x^(2)+(r-p)x+(p-q)=0

If p and q are the roots of the equation x^(2)+p x+q=0 then

If p,q ,r are in G . P , and the equations, p x^2+2 q x+r=0 and d x^2+2 e x+f=0 have a common root, then show that d/p, e/q, f/r are in A . P

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

The roots of the given equation (p - q) x^2 + (q -r ) x + (r - p)=0 are