Give the equations of two lines passing through (2, 14). How man

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 Multiple Choice QuestionsShort Answer Type

51.

If  x equals 2 square root of 2 space a n d space y equals square root of 2 satisfy the liner equation 3x + ky = 4square root of 2, find the value of k, Can there be more than one value of k?

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52. Draw the graph of each of the following linear equations in two variables:

x + y = 4
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53. Draw the graph of each of the following linear equations in two variables:

x – y = 2
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54. Draw the graph of each of the following linear equations in two variables:

Y = 3X
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55. Draw the graph of each of the following linear equations in two variables:

3 = 2x +y
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56. Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?


The equations of two lines passing through (2, 14) can be taken as
x + y= 16
and 7x – y = 0.
There are infinitely many such lines because through a point an infinite number of lines can be drawn.

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57.  If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.
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 Multiple Choice QuestionsLong Answer Type

58. The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
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 Multiple Choice QuestionsShort Answer Type

59.

From the choices given below, choose the equation whose graphs are given in Fig. (1) and Fig. (2).

For Fig. 1                     For Fig. 2

(i) y = x                      (i) y = x + 2
(ii) x + y = 0               (ii) y = x – 2
(iii) y = 2x                  (iii) y = – x + 2
(iv) 2 + 3y = 7x          (iv) x + 2y = 6


Fig.  1




Fig. 2


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 Multiple Choice QuestionsLong Answer Type

60.

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is

(i) 2 units (ii) 0 unit.

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