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

If (log a)/(q-r)=(log b)/(r-p)=(log c)/(p-q) prove that a^(p)b^(q)c^(r)=1

(b) If (log a)/(q-r)=(log b)/(r-p)=(log c)/(p-q) , prove that a^(p)b^(q)c^(r)=1

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 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 the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectively, then prove that (q - r)/(a) + (r - p)/(b) + (p - q)/(c) = 0

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

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