Q1 of 227 Page 114

If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then

Given: Two equations: 6x – 2y = 3 and kx – y = 2


Required: To find the value of k such that system of equations have unique solutions


To have unique solution to the System of equations, the required condition is


∴


⇒


⇒


⇒


∴ For every value of k except 3 the system equations have unique solutions.


∴ Correct option is – Option (B)

More from this chapter

All 227 →
11

If one root of the equation 2x2 – ax + 64 = 0 is twice the other, then find the value of a

 12

If α and β are roots of 5x2 – px + 1 = 0 and α – β = 1, then find P.

 2

A system of two linear equations in two variables is consistent, if their graphs

 3

The system of equations x –4y = 8 , 3x –12y = 24