If `p+q+r=0=a+b+c ,` then the value of the determnalnt `|p a q b r c q c r a p b r b p c q a|i s` `0` b. `p a+q b+r c` c. `1` d. none of these

If p+q+r=0=a+b+c =0, then the value of the determnalnt |p a q b r c q c r a p b r b p c q a|i s a 0 b. p a+q b+r c c. 1 d. none of these

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

If a/(q -r) = b/(r-p) = c/(p-q) , then prove that a + b + c = 0 =pa+ qb + rc .

If p > q and r < 0 , then which is true? (a) p r < q r (b) p r < q r (c) p + r < q + r (d) None of these

If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) + c(p - q) =

If a ,1/b ,c and 1/p ,q ,1/r form two arithmetic progressions of the common difference, then a ,q ,c are in A.P. if p ,b ,r are in A.P. b. 1/p ,1/b ,1/r are in A.P. c. p ,b ,r are in G.P. d. none of these

If a(p+q)^2+2b p q+c=0abd a(p+r)^2+2b p r+c=0(a!=0) , then a. q r=p^2 b. q r=p^2+c/a c. q r=p^2 d. none of these

If a , b and c b respectively the pth , qth and rth terms of an A.P. prove that a(q-r) +b(r-p) +c (p-q) =0