Home
Class 12
MATHS
The value of a for which system of equat...

The value of a for which 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 is:

A

1

B

0

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Put `Delta = 0`
`|{:(a^(3) , (a + 1)^(3) , (a + 2)^(3)), (a , a+ 1, a + 2) , (1 , 1 ,1 ):}|= 0`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 26 (2020)

    VMC MODULES ENGLISH|Exercise MATHEMATICS ( SECTION 2)|5 Videos

  • JEE MAIN REVISION TEST - 25 | JEE - 2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • JEE MAIN REVISION TEST - 27 - JEE -2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z = 0 has non-trivial solution if a, b, c are in

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

Number of values of theta lying I [0,100 pi ] for which the system of equations (sin 3 theta ) x-y+z=0, (cos 2 theta ) x+4y +3z=0, 2x+ 7y+7z =0 has non-trivial solution is "____"

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. Find the solution.

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

The value of a for which the system of linear equations ax+y+z=0, ay+z=0,x+y+z = 0 possesses non-trivial solution is