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## Question

### Solution

Correct option is

xy + yz + zx = – 1

This homogeneous system of equations can’t have trivial solution i.e.,  as it will make xyz not defined.

Hence determinant of coefficients should be zero.

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#### SIMILAR QUESTIONS

Q1

:

Q2

If abc are the sides of a ΔABC opposite to angle ABC respectively, then

:

Q3

The value of  lying between  and satisfying the equation

:

Q4

.

has a non-zero solution, then value of

Q5

If a determinate of  is formed by using the number 1 or –1 then minimum value of determinant is :

Q6

A and B are square matrices and A is non-singular matrix,  :

Q7

is :

Q8

The value of  such that the system x – 2y + z = –4, 2x – y + 2z = 2,  has no solution is :

Q9

The homogeneous system of equation :

has non-trivial solutions if :

Q10

then the number of solutions of the system of equations