Download the app

Questions  

The values of αfor which the system of equations x + y + z = 1, x + 2y + 4z = a, x + 4y + 10z =α2 is consistent, are given by

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
1, – 2
b
– 1, 2
c
1, 2
d
none of these

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Subtracting first equation from the second and third, we get y+3z=α−13y + 9z = a2  – 1∴ α2−1=3(α−1)⇒α=1or α=2


Similar Questions

If the system of equations ax + y= 3, x + 2y = 33x + 4y = 7 is consistent, then value of a is given by 


whats app icon
phone icon