R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 12: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

Write the value of $k$ for which the system of equations $x+y-4=0$ and $2x+ky-3=0$ has no solution.

Write the value of $k$ for which the system of equations has infinitely many solutions.

$2x-y=5$

$6x+ky=15$.

Write the value of $k$ for which the system of equations $3x-2y=0$ and $kx+5y=0$ has infinitely may solutions.

Write the value of $k$ for which the system of equations $x+ky=0,$ $2x-y=0$ has unique solution.

Write the set of values of $a$ and $b$ for which the following system of equations has infinitely many solutions:
$2x+3y=7$, $2ax+(a+b)y=28$

For what value of $k$, the following pair of linear equation has infinitely many solutions:
$10x+5y-(k-5)=0$, $20x+10y-k=0$

Write the number of solutions of the pair of linear equations: $x+2y-8=0$, $2x+4y=16$

Write the number of solutions of the following pair of linear equations:
$x+3y-4=0$
$2x+6y=7$