Home
Class 12
MATHS
The system of equations alpha x+y+z=al...

The system of equations
`alpha x+y+z=alpha-1`
`x+alpha y+z=alpha-1`
`x+y+alpha z=alpha-1`
has no solution if `alpha` is(a)

A

not -2

B

1

C

-2

D

Either -2 or 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The system of equations : ax-y-z=alpha-1 x-ay-z=alpha-1 x-y-alphaz=alpha-1 has no solution if alpha is :

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

If sin alpha , 1 , cos 2 alpha are in GP, then find the general solution for alpha

If a variable takes the discrete values : alpha + 4, alpha - (7)/(2), alpha - (5)/(2), alpha - 3, alpha - 2, alpha + (1)/(2), alpha - (1)/(2), alpha + 5, (alpha gt 0) , then the median is :

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

Show that sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .

If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2) , thet alpha(0 lt alpha lt pi) is

Transform the equation y = x tan alpha to polar form.