Home
Class 12
MATHS
The system of homogenous equations tx+...

The system of homogenous equations
`tx+(t+1)y+(t-1)z=0`, `(t+1)x+ty+(t+2)z=0`, `(t-1)x+(t+2)y+tz=0` has a non trivial solution for

A

Exactly three real values of t

B

Exactly two real values of t

C

Exactly one real value of t

D

Infinite number of values of t

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If system of homogenous equations x+ky-2z=0,2x+y-3z=0 and 4x+2y-kz=0 has non-trivial solution thenthe integral value of k is

The product of all values of t , for which the system of equations (a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0 has non-trivial solution, is |a-c-b-c b-a-b-a c| (b) |a b c b c a c a b| |a c bb a cc b a| (d) |a a+bb+c bb+cc+a cc+a a+b|

If x,y,z not all zeros and equations x+y+z=0,(1+a)x+(2+a)y-8z=0,x-(1+a)y+(2+a)z= have non trivial solution then a

The equation x =1/2 (t+ (1)/(t)), y = 1/2 (t - 1/t), t ne 0 represents

The equation of tangent to the curve x=(1)/(t), y=t-(1)/(t) at t=2 is

If the system of equations 2x-y+z=0,x-2y+z=0,tx-y+2z=0 has infinitely many solutions and f(x) be a continuous function,such that f(5+x)+f(x)=2 then int_(0)^(-2t)f(x)dx is equal to