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4. Linear Equations in Two Variables
easy
At what point does the graph of the linear equation $x+y=5$ 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.
Option A
Option B
Option C
Option D
Solution
The coordinates of the points lying on the line parallel to the $y$ -axis, at a distance $2$ units from the origin and in the positive direction of the $x$ -axis are of the form $(2, a) .$ Putting $x=2, y=a$ in the equation $x+y=5,$ we get $a=3 .$ Thus, the required point is $(2,3).$
Standard 9
Mathematics
