NDA 2023 Maths · Mathematics · Straight Lines · easy

A point in the first quadrant lies on the line x+y=9 and its distance from the y-axis is twice its distance from the x-axis. The point is

Single correct option

A point in the first quadrant lies on the line

x+y=9

and its distance from the

y

-axis is twice its distance from the

x

-axis. The point is

Show answer and solution

Answer: (A) $(6,3)$

Distance from the

y

-axis is

x

and from the

x

-axis is

y

, so

x=2y

. Then

x+y=3y=9

gives

y=3

and

x=6

. The point

(3,6)

reverses the condition, and

(4,5)

does not satisfy

x=2y

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