Home
Class 12
MATHS
Investigate for what values of lambda a...

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` .

Answer

Step by step text solution for 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 . by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER - 17

    FULL MARKS|Exercise PART-III|10 Videos

  • SAMPLE PAPER - 16

    FULL MARKS|Exercise PART - IV|14 Videos

  • SAMPLE PAPER - 18 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|13 Videos

Similar Questions

Explore conceptually related problems

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.

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

Find for what values of a and b the system of linear equation. x+2y+2z=5 , 2x+5y+3z=10 and 3x+y+lambda z=mu has (i) no solution, (ii) a unique solution, (iii) an infinite no of solution.

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

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

Find the value of k for which the equations kx -2y+z=1 , x -2ky +z = -2 , x -2y+kz =1 have (i) no solution (ii) unique solution (iii) infinitely many solution

Determine the values of lambda for which the following system of equations x+y+3z=0 , 4x+3y + lambdaz = 0, 2x+y+2z=0 has (i) a unique solution (ii) a non-trivial solution.

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

Determine the values of lambda for which the following system of equations x+y+3z=0,4x+3y+ lambda z=0, 2x+y+2z=0 has (i) a unique solution (ii) a non-trivial solution.

For what value of lambda , the system of equations x+y+z=1, x+2y+4z= lambda , x+4y+10z= lambda^(2) is consistent

Home
Profile