Home
Class 12
MATHS
The set of all values of lambda for whic...

The set of all values of `lambda` for which the system of linear equations:`2x_1k k-2x_2+x_3=lambda_1,\ 2x_1-3x_2+2x_3=lambdax_2,\ -x_1+2x_2=lambdax_3` has a non-trivial solution Contains two elements Contains more than two elements is an empty set is a singleton

A

contains two elements

B

contains more than two elements

C

is an empty set

D

is a singleton

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The set of all values of lamda for which the system of linear equations: 2x_1-2x_2+x_3=lamdax_1, 2x_1-3x_2+2x_3=lamdax_2, -x_1+2x_2=lamdax_3 has no trivial solution, (A) contains more than two elements (B) is in empty set (C) is a singleton (D) contains two elements

Examine the consistency of the system of linear equtions in 1 to 6 x+2y=2 2x+3y=3

The number of solutions to the system of equations x_1+x_2+x_3+x_4+x_5=20 and x_1+x_2=15 wher x_k>=0

If S is the set of distinct values of ' b for which the following system of linear equations x+y+z=1 x+a y+z=1 a x+b y+z=0 has no solution, then S is : (1) a finite set containing two or more elements (2) a singleton (3) an empty set (4) an infinite set

If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

Find the set of values of a for which the equation 2cos^-1 x = a+a^2(cos^-1 x)^-1 posses a solution

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

Find the values of k for which the following quadratic equation has real and equal roots: x^(2)+k(2x+k-1)+2=0