Home
Class 12
MATHS
The system of linear equations x +y+z =6...

The system of linear equations x +y+z =6, x+2y+3z= 14 and 2x+5y+`lambdaz=mu(lambda,mu in "RR")` is consistent with unique solution if

A

`lambda =8`

B

`lambda =8, mu ne 36`

C

`lambda ne 8`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (II. Fill in the blanks :)|10 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (IV. Choose the odd man out : )|5 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 1.8|25 Videos
  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 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 lambda=8 b. lambda=8,mu=36 c. lambda=8,mu!=36"" d. none of these

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

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

In vestigate the values of lambda and mu the system of linear equations 2x+3y+5z=9,7x+3y-5z=8, 2x+3y+ lambda z= mu , have (i) no solution (ii) a unique solution (iii) an infinite number of solutions.

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

Investigate for what values of lambda and mu the system of linear equations. x + 2y + z = 7, x + y + lambda z = mu , x + 3y - 5z = 5 . Has (i) no solution (ii) a unique solution (iii) an infinte number of solutions. (b) P prpresents the variable complex number z. Find the locus of P , if Re ((z+1)/(z+i)) = 1 .

Test the consistency of the linear equations 3x-y+z=3 , 2x+2y-3z=1 and 25x+5y-10z=20 .