R. D. Sharma Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 13: MULTIPLE CHOICE QUESTIONS (MCQs)

The value of $k$ for which the system of equations $2x+3y=5$ and $4x+ky=10$ has an infinite number of solutions is

The area of the triangle formed by the lines $y=x, x=6$ and  $y=0$ is

The area of the triangle formed by the lines $x=3, y=4$ and $x=y$ is

The area of the triangle formed by the lines $2x+3y=12, x-y-1=0$ and $x=0$ (as shown in figure) is 

The sum of the digits of a two-digit number is $9$. If $27$ is added to it, the digits of the number get reversed. The number is

If $x=a, y=b$ is the solution of the systems of equations $x-y=2 \text{and} x+y=4$, then the values of $a$ and $b$ are respectively

For what value $k$, do the equations $3x-y+8=0 \text{and} 6x-ky+16=0$ represent coincident lines?

Aruna has only $₹1$ and $₹2$ coins with her. If the total number of coins that she has is $50$ and the amount of money with her is $₹75$, then the number of $₹1$ and $₹2$ coins are respectively