Maths-

General

Easy

Question

# The locus of x^{2} + y^{2} + z^{2} = 0 is

- (0, 0, 0)
- a sphere
- a circle
- none of these

Hint:

### We are given an equation. We have to find the locus of the equation.

## The correct answer is: (0, 0, 0)

### The given equation is x^{2} + y^{2} + z^{2 }= 0

The solution of the equation should be real numbers.

The only real numbers that will satisfy the above equation is if all three variables are zero. The reason is all the terms are squares. So, squares are always positive.

So, the locus of the equation is (0,0,0)

For such questions, we have to be careful about points satisfying the equation.

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