## Question

If *pqr* *≠* 0 and the system of equations

(*p* + *a*)*x* + *by* + *cz* = 0

* ax* + (*q* + *b*)*y* + *cz* = 0

* ax* + *by* + (*r* + *c*)*z* = 0

has sc non – trivial solution, then value of

### Solution

– 1

Applying R_{2} → R_{2} → R_{1} and R_{3} → R_{3} – R_{1}. We get

#### SIMILAR QUESTIONS

The number of distinct real roots of

The value of θ lying between θ = 0 and θ = π/2 and satisfying the equation

The system of equation

* ax* + *by* + (*a*α + *b*)*z* = 0

* bx* + *cy* + (*b*α + *c*)*z* = 0

(*a*α + *b*)*x* + (* b*α +

__c__)

*y*= 0

has a non – zero solution if *a*, *b*, *c* are in

The system of equations

* ax* + *ay* – *z* = 0

* bx* – *y* + *bz* = 0

– *x* + *cy* + *cz* = 0

(where *a*, *b*, *c* ≠ – 1 )has a non – trivial solution, then value of