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From the choices given below, choose the equations whose graph is given in figure. (i) y = x (ii) x + y = 0 (iii) y = 2x (iv) 2 + 3y = 7x |
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Answer» From graph, co-ordinates (1, -1) and (-1, 1) are solutions of one of the equations. We will put the value of all the co-ordinates in each equation and check which equation satisfy them. (i) y = x Put x = 1 and y = -1, Thus, 1 ≠ -1 L.H.S ≠ R.H.S Putting x = -1 and y = 1, -1 ≠ 1 L.H.S ≠ R.H.S Therefore, y = x does not represent the graph in the given figure. (ii) x + y = 0 Putting x = 1 and y = -1, ⇒ 1 + (-1) = 0 ⇒ 0 = 0 L.H.S = R.H.S Putting x = -1 and y = 1, (-1) + 1 = 0 0 = 0 L.H.S = R.H.S Thus, the given solutions satisfy this equation. (iii) y = 2x Putting x = 1 and y = -1 -1 = 2 (Not True) Putting x = -1 and y = 1 1 = -2 (Not True) Thus, the given solutions does not satisfy this equation. (iv) 2 + 3y = 7x Putting x = 1 and y = -1 2 – 3 = 7 -1 = 7 (Not true) Putting x = -1 and y = 1 2 + 3 = -7 5 = -7 (Not True) Thus, the given solutions does not satisfy this equation. |
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