If `bc+qr=ca+rp=ab+pq=-1` and `(abc,pqr!=0)` then `|[ap,a,p],[bq,b,q],[cr,c,r]|` is (A) 1 (B) 2 (C) 0 (D) 3

If bc +qr=ca+rp=ab+pq=-1, show that |{:(ap,bp,cr),(a,b,c),(p,q,r):}|=0

If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

If a+b+c =p, abc =q and ab+bc +ca =0 then what is the value of a^(2) b^(2) +b^(2)c^(2) +c^(2)a^(2) ?

If a(p+q)^2+2bpq+c=0 and q(p+r)^2+2bpr+c=0 then (A) qr=p^2 + c/a (B) qr=p^2 - c/a (C) q+r = 2(a+b)/a (D) q+r= -2(a+b)/(a)

If every pair from among the equations x^ 2 + p x + q r = 0, x^2+px+qr=0, x^2 + q x + r p = 0, x^2+qx+rp=0 and x^2 + r x + p q = 0, x^2+rx+pq=0 has a common root then the product of three common root is (A) pqr (B) 2pqr (C) (p^2q^2r^2) (D)none of these

If a^(p)=b^(q)=c^(r)=abc, then pqr=

If P(a,b+c)Q(b,c+a)R(c,a+b) and PQ = QR and a=c then , a,b,c are in

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is (A) pqr (B) 2 pqr (C) (p^(2)q^(2)r^(2)) (D)one of these