Important Questions of Linear Equations in Two Variables Mathematics | Zigya

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211. The cost of a notebook in a book-shop is र 15. Form a linear equation with x-representing the number of notebooks and y-representing the total cost (in र) and draw its graph. From the graph, find the total cost if 5 notebooks are purchased.
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212. Water is flowing into a water tank at the rate of 10 cm3/sec. If the volume of water collected in t seconds is V cm3, write a linear equation to represent the above statement. Draw a graph of the linear equation.
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213. Write square root of 7 y equals 2 x as a linear equation of the form ax + by + c = 0. Also write the values corresponding to a, b, c. Does the graph of this linear equation pass through origin? Give your answer in yes or no.
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214. The cost of a toy telephone is the same as cost . of 4 balls. Express this statement as a linear equation in two variables. Also, find the cost of getting 2 toy telephone packed, if cost of 1 ball is र 5 and there is a fixed cost of र 2 for packing a toy telephone.
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215.

Determine the co-ordinates of a point on the graph of 5x – y = 12 whose

(a) ordinate is twice that of the abscissa
(b) abscissa and ordinate are in the ratio 3 : 2.

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216.

A rectangular field has to be cut out and its boundary marked with fencing with a given wire of length 100 m.

(a) Represent the above situation using a linear equation
(b) Also plot its graph

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