Computer Sciences > GATE 2025 SET-1 > Linear Equations
Consider the given system of linear equations for variables x and y, where k is a real-valued constant. Which of the following option(s) is/are CORRECT?
x+ky=1
kx+y=-1
A
There is exactly one value of k for which the above system of equations has no solution.
B
There exist an infinite number of values of k for which the system of equations has no solution.
C
There exists exactly one value of k for which the system of equations has exactly one solution.
D
There exists exactly one value of k for which the system of equations has an infinite number of solutions.

Explanation

Correct : a

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