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

For fig. (i) For fig. (ii)
(i) $y = x$ (i) $y = x + 2$
(ii) $x + y = 0$ (ii) $y = x - 2$
(iii) $y = 2 x$ (iii) $y = - x + 2$
(iv) $2 + 3 y = 7 x$ (iv) $x + 2 y = 6$

Question

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

Filo · Accepted Answer

In the given fig. (i), the solutions of the equation are

(- 1, 1), (0, 0)

and

(1, - 1)

.

∴

the equation which satisfies these solutions is the correct equation.

Equation (ii)

x + y = 0

, satisfies these solutions.

Proof:

If we put the value of

x = - 1

and

y = 1

in the equation

x + y = 0

= x + y = - 1 + 1 = 0

∴ L . H . S = R . H . S

if we put the the value of x = 0 and y = 0

= x + y = 0 + 0 = 0

∴ L . H . S = R . H . S

If we put the value of

x = 1

and

y = - 1

= x + y = 1 + (- 1) = 1-1 = 0

L . H . S = R . H . S

Hence, option (ii)

x + y = 0

is correct.

In the given Fig.(ii) the solutions of the equation are

(- 1, 3), (0, 2)

and

(2, 0)

.

∴

The equation which satisfies these solutions is the correct equation.

Equation (iii)

y = - x + 2

, satisfies these solutions.

Proof:

If we put the value of

x = - 1

and

y = 3

in the equation

y = - x + 2

y = - x + 2

3 = - (- 1) + 2

3 = 3

∴ L . H . S = R . H . S

if we put the the value of

x = 0

and

y = 2

y = - x + 2

2 = - 0 + 2

2 = 2

∴ L . H . S = R . H . S

If we put the value of

x = 2

and

y = 0

y = - x + 2

0 = - 2 + 2

0 = 0

L . H . S = R . H . S

Hence, option (iii)

y = - x + 2

is correct.

Question Text	From the choices given below, choose the equation whose graphs are given in Fig. (i) and Fig. (ii).
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified