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Linear Equations in Two Variables

Multiple Choice Questions

191. Cost of book (x) exceeds twice the cost of pen (y) by र 10. This statement can be expressed as linear equation:

x – 2y – 10 = 0
2x – y – 10 = 0
2x + y – 10 = 0
2x + y – 10 = 0

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192. The graph y = mx is a:

straight line parallel to x-axis
straight line parallel to y-axis
line that passes through the origin
line that passes through the origin

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193. If x represents the present age of father and y represents the present age of the son, then the statement “present age of father is 5 more than 6 times the age of son” in terms of mathematical equation is:

6x + y = 5
x = y + 30
x + 6y = 5
x + 6y = 5

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194. The graph of the linear equation, x – 2y = 0, will pass through

III and IV quadrants
I quadrant and III quadrant
II quadrant and IV quadrant
II quadrant and IV quadrant

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195. If x = 3 and y = –2 is a solution of the equation 4px – 3y = 12, then the value of p is:

0
$1 half$
2
2

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196. The graph of 0 · x + 3y = 6 is parallel to:

neither x-axis nor y-axis
a line through origin
x-axis
x-axis

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197. In the figure, the graph of the equation is drawn. Choose the correct equation for which the graph has been drawn:

y = –x
y = x
y = 2x
y = 2x

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Short Answer Type

198. Give the equations of any three lines passing through the point (2, –3).

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199. Write 3 different solutions of 2x +y = .

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200. The Auto fare in a city is as follows. For the first kilometer the fare is र 5 and for the successive distance it is र 1 per kilometer. Taking a distance covered as x kilometer and total fare as र y, write a linear equation for the above said data and draw its graph.

Solution not provided.

Ans. y = 5 + 2(x -1) $rightwards double arrow$ y = 3 + 2x

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