If a, b, c are distinct non−zero real nu...

If a, b, c are distinct non−zero real numbers and `|[1,a^2,a^3],[1,b^2,b^3],[1,c^2,c^3]|=0` then:

A

`1/a + 1/b + 1/c = 0`

B

`a+b+c=0`

C

`a^3+b^3+c^3=3abc`

D

none of these

लिखित उत्तर

Verified by Experts

Promotional Banner

Promotional Banner

Recommended Questions

If a, b, c are distinct non−zero real numbers and |[1,a^2,a^3],[1,b^2,...
Text Solution
|
If a , b , c are distinct real numbers and the system of equations a x...
Text Solution
|
Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a...
Text Solution
|
If (1)/(a)+(1)/(b)+(1)/(c)=0, where a,b and c are non-zero real number...
Text Solution
|
If a,b,c are non-zero real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(...
Text Solution
|
If a!=b!=c such that |[a^3-1,b^3-1,c^3-1] , [a,b,c] , [a^2,b^2,c^2]|=0...
Text Solution
|
If |{:(a,,a^(2),,1+a^(3)),(b,,b^(2),,1+b^(3)),(c,,c^(2),,1+c^(3)):}|=0...
Text Solution
|
For a real number a with 0 lt a lt (1)/(2), if b = 1 - a + a^(2) - a^(...
Text Solution
|
If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...
Text Solution
|