Math miscellaneousHard
Question
The value of ′a′ for which the system of
equation a3x + (a + 1)3y + (a + 2)3 z = 0
ax + (a + 1)y + (a + 2) z = 0
x + y + z = 0
has a non-zero solution is :-
equation a3x + (a + 1)3y + (a + 2)3 z = 0
ax + (a + 1)y + (a + 2) z = 0
x + y + z = 0
has a non-zero solution is :-
Options
A.1
B.0
C.-1
D.2
Solution
Since d1 = d2 = d3 = 0 ⇒ D1 = D2 = D3 = 0
So for non-zero solution
= 0
= 0 ⇒ a = - 1
So for non-zero solution
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
A person wants to reach from A to B by moving upward or rightward direction only taking one unit step at time, then numb...The coefficient of xn in expansion of (1 + x)(1 - x)n is...If the system of linear equations x + ky + 3z = 0 3x + ky - 2z = 0 2x + 4y - 3z = 0 has a non-zero solution (x, y, z), t...Suppose f(x) is differentiable x = 1 and f(1 + h) = 5, then f′(1) equals...If (10)9 + 2(11)1 (10)8 + 3(11)2 (10)7+ ... + 10(11)9 = k(10)9, then k is equal to...