Q8 of 56 Page 13

From the choices given below, choose the equation whose graph in Fig. 13.13.

(i) y = x


(ii) x+y=0


(iii) y=2x


(iv) 2+3y=7x



[Hint: Clearly, (-1,1) and (1,-1) satisfy the equation x+y=0]

From the graph, the line passes through (1, - 1) and (-1, 1)


(i) y = x


⇒ 1 = -1 which is not true


(ii) x + y = 0


⇒ 1 – 1 = 0


⇒ 0 = 0


Also, - 1 + 1 = 0


⇒ 0 = 0


Thus x + y = 0 is a equation


(iii) y = 2x


⇒ -1 = 2 which is not true


(iv) 2 + 3y = 7x


⇒ 2 – 3 = 7


⇒ -1 = 7 which is not true


More from this chapter

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6

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number of x and y respectively, then write the linear equation representing the above statement.

 7

Plot the points (3,5) and (-1,3) on a graph paper and verify that the straight line passing through these points also passes through the point (1,4).

 9

From the choices given below, choose the equation whose graph is given in Fig. 13.14

(i) y=x+2


(ii) y=x-2


(iii) y=-x+2


(iv) x+2y=6.



[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]

 10

If the point (2,-2) lies on the graph of the linear equation 5x+ky=4, find the value of k.