Given the pair of equations ax + (a - 1) y = 1 and (a + 1) x - ay - Maths - Pair of Linear Equations in Two Variables

Question

Given the pair of equations ax + (a - 1) y = 1 and (a + 1) x -
ay = 1, for which one of the following values of a is there no
common solution of the given pair of equations?
a + - root 2 b + - 1 / root 2 c + - 2 d 1 + - 1 / 2

Ankush Jain · Accepted Answer

Given, pair of equations are : $a x + (a - 1) y = 1 and (a + 1) x - a y = 1$ For given equations to have no solution, we have $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}} \Rightarrow \frac{a}{a + 1} = \frac{a - 1}{(- a)} \Rightarrow - a^{2} = a^{2} - 1 \Rightarrow 2 a^{2} = 1 \Rightarrow a = \pm \frac{1}{\sqrt{2}}$

Given the pair of equations ax + (a - 1) y = 1 and (a + 1) x - ay = 1, for which one of the following values of a is there no common solution of the given pair of equations? a. + - root 2 b. + - 1 / root 2 c. + - 2 d. 1 + - 1 / 2

Given the pair of equations ax + (a - 1) y = 1 and (a + 1) x - ay = 1, for which one of the following values of a is there no common solution of the given pair of equations?

a. + - root 2 b. + - 1 / root 2 c. + - 2 d. 1 + - 1 / 2