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Linear Equations in Two Variables

Short Answer Type

91. The taxi fare in a city is as follows: for the first kilometer, the fare is र 10 and for the subsequent distance it is र 6 per km. Taking the distance covered as x km and total fare as र y, write a linear equation for this information, and draw its graph.

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92. Two friends Sita and Gita, together contributed र 200 tow ards Prime Minister’s Relief Fund. Write a linear equation which satisfies this data. Draw the graph.

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93. The cost of a note book is thrice the cost of a pen. Write a linear equation in two variables to represent this statement. Express it graphically.

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94.

Express x in terms of y, it is being given that 7x – 3y = 15. Check if the line represented by the equation intersects the y-axis at y = –5.

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95. Graphically show the position of the equations x = 5 and y = –3. Name the type of quadrilateral formed with these lines and the two axes. Write the coordinates of its vertioes.

Solution not provided.

Ans. Rectangle; (0, 0), (5, 0), (5, –3), (0, –3)

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96. Draw the graph of the linear equation y = mx + c for m = 2 and c = 1. Read from the graph the value of y when

x equals 3 over 2.

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97. Sketch the graph of the equation 3x + 5y = 15. Find the area of the figure formed by this line and the two axes.

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98. Draw the graph of the linear equation 3x – y = 4. From your graph, find the values of h and k if the graph passes through the points (h, –4) and (3, k).

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99.

The parking charges of acaron New Delhi Railway Station for first two hours is र 50/- and र 10/- for subsequent hours. Write down an equation and draw the graph of this data. Read the charges from the graph:

(i) for one hour
(ii) for three hours
(iii) for six hours.

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100.

Give the geometric representations of y = 3 as an equation

in one variable

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