Add: `p\ (p-q), q(q-r)` and`\ r\ (r-p)` (ii)`2x\ (z-x-y)\ ` and`\ 2y\ (z-y-x)`

Add: (i) p\ (p-q), q(q-r) and \ r\ (r-p) (ii) 2x\ (z-x-y)\ and \ 2y\ (z-y-x)

Add:p(p-q),q(q-r) and r(r-p)2x(z-x-y) and 2y(z-y-x)

The lines (p-q)x+(q-r)y+(r-p)=0(q-r)x+(r-p)y+(p-q)=0,(x-p)x+(p-q)y+(q-r)=

|(a-b,p-q,x-y),(b-c,q-r,y-z),(c-a,r-p,z-x)|=

The lines (p-q)x+(q-r)y+(r-p)=0(q-r)x+(r-p)y+(p-q)=0 (r-p)x+(p-q)y+(q-r)=0

The lines 1) (p-q)x+(q-r)y+(r-p)=0,2)(q-r)x+(r-p)y+(p-q)=0,3)(r-p)x+(p-q)y+(q-r)=0

Factorize each of the following expressions: (1) q r-p r+q s-p s (2) p^2q-p r^2-p q+r^2 (3) 1+x+x y+x^2y (4) a x+a y-b x-b y

If x,y,z are respectively p^(th), q^(th) and r^(th) terms of a G.P show that x^(q-r) xx y^(r-p) xx z^(p-q)=1 .

If (log x)/(q-r)=(log y)/(r-p)=(log z)/(p-q) prove that x^(q+r)*y^(r+p)*z^(p+q)=x^(p)*y^(q).z^(r)