At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?

(3, 2)

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(2, 3)

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(2, 2)

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(3, 3)

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Solution

The correct option is B
(2, 3)

The equation of a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis is $x = 2$ .

The given line is $x + y = 5$
Putting x = 2 in the above equation, we get
$2 + y = 5$
$\Rightarrow y = 3$

$∴$ The required point is (2, 3).

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At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?

The correct option is B (2, 3) The equation of a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis is x=2. The given line is x+y=5 Putting x = 2 in the above equation, we get 2+y=5 ⇒y=3 ∴ The required point is (2, 3).