Home
Class 12
MATHS
if the system of linear equations x+y+z...

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

A

`lambdane`8

B

`lambda =8 "and" mu ne 36`

C

`lambda =8 "and" mu =36`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|23 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|11 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If the system of linear equation x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R) has a unique solution, then

If the system of linear equation x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R) has a unique solution, then lambda≠ 8 b. lambda=8,mu=36 c. lambda=8,mu!=36"" d. none of these

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is

Let lambda be a real number for which the system of linear equations x + y +z =6, 4x + lambday -lambdaz = lambda -2 and 3x + 2y-4z =-5 has infinitely many solutions. Then lambda is a root of the quadratic equation

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x + 5y + lambdaz=-3 has at least one solution for any real number lambda. Find the set of solutions of lambda =-5

Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=mudot Statement 1: if the system has infinite number of solutions, then mu=10. Statement 2: The determinant |(1 ,1, 6), (1, 2, 10),(1, 2,mu)| = 0 for mu=10.

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

For a unique value of mu & lambda , the system of equations given by {:(x+y+z=6),(x+2y+3z=14),(2x+5y+lambdaz=mu):} has infinitely many solutions , then (mu-lambda)/4 is equal to