Sample QuestionsGraphical Solution (Solution of Simultaneous Linear Equations, Graphically) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Solve, graphically, the following pairs of equation $:x - 5 = 0,y + 4 = 0$
View full solution →Draw the graph for the equation, given below $:y + 7 = 0$
View full solution →Draw the graph for the equation, given below$ :y = 7$
View full solution →Draw the graph for the equation, given below $:x + 5 = 0$
View full solution →Draw the graph for the equation, given below$ :x = 5$
View full solution →Draw the graph $($straight line$)$ given by equation $x - 3y = 18$. If the straight line is drawn passes through the points $(m, - 5)$ and $(6, n);$ find the values of $m$ and $n.$
View full solution →Use the graphical method to find the value of $k$, if:$(5, k - 2)$ lies on the straight line $x - 2y + 1 = 0$
View full solution →Use the graphical method to find the value of $k$, if:$(k, -3)$ lies on the straight line $2x + 3y = 1$
View full solution →The cost of manufacturing $x$ articles is $Rs.(50 + 3x)$. The selling price of $x$ articles is $Rs. 4x.$On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.Use your graph to determine:The profit or loss made when $(a) 30\ (b) 60$ articles are manufactured and sold.
View full solution →The cost of manufacturing $x$ articles is $Rs. (50 + 3x)$. The selling price of $x$ articles is $Rs. 4x$.On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.Use your graph to determine:No. of articles to be manufactured and sold to break even $($no profit and no loss$)$.
View full solution →The cost of manufacturing $x$ articles is $Rs.(50 + 3x)$. The selling price of $x$ articles is $Rs. 4x$.On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.Use your graph to determine:The profit or loss made when $(a) 30; (b) 60$ articles are manufactured and sold.
View full solution →The cost of manufacturing $x$ articles is $Rs. (50 + 3x)$. The selling price of $x$ articles is $Rs. 4x$.On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.Use your graph to determine:No. of articles to be manufactured and sold to break even $($no profit and no loss$)$.
View full solution →Using a scale of $1 \ cm$ to $1$ unit for both the axes, draw the graphs of the following equations: $6y = 5x + 10, y = 5x - 15$.From the graph find :$(i)$ the coordinates of the point where the two lines intersect;$(ii)$the area of the triangle between the lines and the $x-$axis.
View full solution →By drawing a graph for each of the equations $3x + y + 5 = 0; 3y - x = 5$ and $2x + 5y = 1$ on the same graph paper; show that the lines given by these equations are concurrent $($i.e. they pass through the same point$)$. Take $2 \ cm = 1$ unit on both the axes.
View full solution →The sides of a triangle are given by the equations $y - 2 = 0; y + 1 = 3 (x - 2)$ and $x + 2y = 0.$Find, graphically :$(i)$ the area of a triangle;$(ii)$ the coordinates of the vertices of the triangle.
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