CAT 2020 Functions Question (Medium)

Question

Let be a constant. The equations and have a unique solution if and only if

Accepted Answer

Step 1 Convert to standard form Equation 1 Equation 2 In matrix form kx y 3 4x ky 4 --- Step 2 Use the condition for a unique solution A system of two linear equations has a unique solution if the determinant of the coefficient matrix is non-zero. Coefficient matrix k 1 4 k Determinant D k cdot k -

CAT 2020

Quantitative

Functions

Medium

Let $k$ be a constant. The equations $kx + y = 3$ and $4x + ky = 4$ have a unique solution if and only if

Ace Your MBA Admission Interviews!

Practice

Features

Support