Question 1 :
The graph of the linear equation $2x -y = 4$ cuts x-axis at
Question 2 :
The sum of two numbers is $2$ and their difference is $1$. Find the numbers.
Question 3 :
Solve the following equations:<br/>$x + \dfrac {4}{y} = 1$,<br/>$y + \dfrac {4}{x} = 25$.Then $(x,y)=$
Question 5 :
A choir is singing at a festival. On the first night $12$ choir members were absent so the choir stood in $5$ equal rows. On the second night only $1$ member was absent so the choir stood in $6$ equal rows. The same member of people stood in each row each night. How many members are in the choir?
Question 6 :
Find the value of x and y using cross multiplication method: <br>$x - 6y = 2$ and $x + y = 4$
Question 7 :
Solve the following pairs of linear (simultaneous) equation by the method of elimination by substitution:$1.5x + 0.1y = 6.2$, $3x - 0.4y = 11.2$
Question 8 :
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:The sum of the digits of a two-dlgit number is $9$. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number<br/>
Question 9 :
Solve the following pair of equations :$x\, -\, y\, =\, 0.9$<br/>$\displaystyle \frac{11}{2\, (x\, +\, y)}\, =\, 1$
Question 10 :
If $6$ kg of sugar and $5$ kg of tea together cost Rs. $209$ and $4$ kg of sugar and $3$ kg of tea together cost Rs. $131$, then the cost of $1$ kg sugar and $1$ kg tea are respectively<br/>
Question 11 :
If the equations $y = mx + c$ and $x  \cos  \alpha + y \sin  \alpha = p$ represent the same straight line, then
Question 12 :
The ratio between the number of passangers travelling by $1^{st}$ and $2^{nd}$ class between the two railway stations is 1 : 50, whereas the ratio of$1^{st}$ and $2^{nd}$ class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passangers travelling between these stations by these classes, then what was the amount collected from the $2^{nd}$ class passangers ?
Question 13 :
Equations $\displaystyle \left ( b-c \right )x+\left ( c-a \right )y+\left ( a-b \right )=0$ and $\displaystyle \left ( b^{3}-c^{3} \right )x+\left ( c^{3}-a^{3} \right )y+a^{3}-b^{3}=0$ will represent the same line if<br>
