Let k be a constant. The equations kx + y = 3 and 4x + ky = 4 have a unique solution if and only if
Explanation:
For 2 equations a1x + b1y = c1 and a2x + b2y = c2 to have a unique solution, the condition is: a1a2≠b1b2.
∴ k4=1k
⇒ k2 = 4
⇒ k = ±2 or |k| ≠ 2.
Hence, option (c).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.