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Question

(0,4) (1,2) (2,0) (3,-2) are all on the line 2x + y = 4


A

True

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B

False

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Solution

The correct option is A

True


For the given points to lie on the line, the ordered pairs should satisfy the equation of the line.

Putting (0, 4) in the equation 2x + y = 4 =>

(2x0) + 4 = 4

The equation holds. Hence, the point is on the line

Putting (1, 2) in the equation 2x + y = 4 =>

(2x1) + 2 = 4

The equation holds. Hence, the point is on the line

Putting (2, 0) in the equation 2x + y = 4 =>

(2x2) + 0 = 4

The equation holds. Hence, the point is on the line

Putting (3, -2) in the equation 2x + y = 4 =>

(2x3) + (-2) = 4

The equation holds. Hence, the point is on the line

Hence, all the given points lie on the line 2x + y = 4


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