Think 3-D

Geometry Level 3

The number of lines represented by the equation $x^2 = y^2 = z^2$ is

0 None of these 6 2 4 5 3 8

1 solution

Rishabh Jain
Jan 4, 2016

$\color{#D61F06}{1.\space x+y=0 \space or \space x-y=0}$ $\color{#3D99F6}{2. \space y+z=0 \space or \space y-z=0}$ $\color{#20A900}{3.\space x+z=0 \space or \space x-z=0}$ Clearly there are four lines possible viz. $\text{x=-y=z , x=-y=-z , x=y=z , x=y=-z.}$

Do u mean that x is considered to be a dependent variable whereas y and z are independent variables in the solution ?

Santosh Narva - 5 years, 5 months ago

I have not pointed it anywhere, I have just written the equation of the four possible lines in the Cartesian form.

Rishabh Jain - 5 years, 5 months ago

Okay tnq got it

Santosh Narva - 5 years, 5 months ago

Think 3-D

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