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

1.	From the choices given below, choose the equation whose graph in Fig. (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]
Answer» 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

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

Answer»

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