The point P(a,b), Q(c,d), R(a,d) and S(c,b) , where a,b,c ,d are distinct real numbers, are

If p^(a)=q^(b)=r^(c)=s^(d) and p,q,r,s are in G.P then a,b,c,d are in

If a, b and c are non-coplanar vectors and if d is such that d = (1)/(x) (a + b + c) and a = (1)/(y) (b + c + d) where x and y are non-zero real numbers, then (1)/(xy) (a + b + c + d) =

Let , a , b ,c ,d , p ,q ,r be positive real number such that a ,b , c are in G.P and a^(p)=b^(q)=c^(r) Then-

The number of proper divisors of apbic'ds where a,b,c,d are primes &p,q,r,s in N is

If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p^2-2(a b+b c+c d)p+(b^2+c^2+d^2)lt=0, then prove that a ,b ,c , d are in G.P.

If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p^2-2(a b+b c+c d)p+(b^2+c^2+d^2)lt=0, then prove that a ,b ,c , d are in G.P.

If a,b,c,d are four distinct positive numbers in G.P.then show that a+d>b+c.

Match the columns and choose correct options. (1) a-q, b-r, c-s, d-p (2) a-s, b-p, c-q, d-r (3) a-q, b-p, c-s, d-r (4) a-s, b-p, c-r, d-q

a ,b ,c x in R^+ such that a ,b ,and c are in A.P. and b ,c and d are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these