For what values of k is the system of equations 2k^2x+3y-1=0, 7x-2y+3=0, 6kx+y+1=0 consistent?

NDA 2021 Mathematics question

For what values of is the system of equations

+3y-1=0, 7x-2y+3=0, 6kx+y+1=0

consistent?

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Three linear equations in two unknowns are consistent (have a common solution) when the determinant of the coefficients and constants is zero: $ & 3 & -1 7 & -2 & 3 6k & 1 & 1

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Question ID VK-033632