Prove that `p x^(q-r)+q x^(r-p)+r x^(p-q)> p+q+r ,w h e r ep ,q ,r` are distinct and`x!=1.`

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

If lines p x+q y+r=0,q x+r y+p=0a n dr x+p y+q=0 are concurrent, then prove that p+q+r=0(w h e r ep ,q ,r are distinct )dot

Show that (pvvq) to r -= (p to r) ^^ (q to r)

If the roots of the equation (q-r)x^(2)+(r-p)x+p-q=0 are equal, then show that p, q and r are in A.P.

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p+1/rdot

Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisible by x^3+x^2+x+1, w h e r ep ,q ,r ,s in ndot

Prove that p to (~q vee r) -= ~p vee (~q vee r) using truth table.

Prove p to (q to r) -= (p wedge q) to r without using truth table.