# 'If x/1=y/1=z/-1 represents one of the three mutually perpendicular generators of the cone 3xy+8xz-5yz=0,find the equations of other two.?

See below.

Calling

and

now the plane

is orthogonal to

This plane cuts

So it is the case.

Here

and

then solving

we obtain

Attached a plot showing

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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