[" EXAMPLE 11"" Let "a,b,c,p" be rational numbers such that p is not a perfect cube."],[" If "a+bp^((1)/(3))+cp^((2)/(3))=0," then prove that "a=b=c=0]

Let a,b,c, k be rational numbers such that k is not perfect cube if a+bk^((3)/(2))+ck^((2)/(3))=0 prove that a=b=c=0

Let a,b,c,k be rational numbers such that k is not perfect cube if a + b k^(1/3) + c k^(2/3) = 0 prove that a = b = c =0

If (1)/(a)+(1)/(a-b)+(1)/(c)+(1)/(c-b)=0 and a+c-b!=0, then prove that a,b,c are in H.P.

Suppose a,b,c are three integers such altbltc and p is a prime number Let Delta=|(a,a^(2),p+a^(3)),(b,b^(2),p+b^(3)),(c,c^(2),p+c^(3))| If Delta=0 then which one of the following is not true

Let a,b,c be three distinct positive real numbers in G.P , then prove that a^(2)+2bc - 3ac gt 0

Let A,B,C be 3 events such that P(A//B)=(1)/(5) , P(B)=(1)/(2) , P(A//C)=(2)/(7) and P(C )=(1)/(2) , then P(B//A) is

Let A,B,C be 3 events such that P(A//B)=(1)/(5) , P(B)=(1)/(2) , P(A//C)=(2)/(7) and P(C )=(1)/(2) , then P(B//A) is

Let A,B,C be 3 events such that P(A//B)=(1)/(5) , P(B)=(1)/(2) , P(A//C)=(2)/(7) and P(C )=(1)/(2) , then P(B//A) is