Home
Class 12
MATHS
The number of real values of alpha for w...

The number of real values of `alpha` for which the system of equations :
`{:(x+3y+5z=ax),(5x+y+3z=ay),(3x+5y+z=az):}`
has infinite number of solutions is-

A

1

B

2

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2013|5 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2014|2 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2016|7 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

The number of real values of alpha for which the system of equations {:(x+3y+5z=alphax),(5x+y+3z=alpha y),(3x+5y+z= alpha z):} has infinite number of solutions is

The linear system of equations {:(8x-3y-5z=0),(5x-8y+3z=0),(3x+5y-8z=0):}} has

Find the number of values of lambda for which the system of equations lambdax+y+z=1,x+lambday+z=lambda and x+y+lambdaz=lambda^2 has infinite number of solutions .

If a inRR and the system of equations x+ay=0, az+y=0 , ax+z=0 has infinite number of solution then the value of a is

Find the real values of a for which the system of equations a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0 x+y+z=0 has a non -zero solution.

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions.

The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=0, 2x+3y-4z=0 has a non -trivial solution is

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

If the system of equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + alphaz = beta has infinitely many solution, then beta - alpha equals

The system of equations lambdax+y+3z=0,2x+muy-z=0,5x+7y+z=0 has infinitely many solutions in R. Then