Question

The range of values of the ordinate of a point moving on the line $x=1$ and always remaining in the interior of the triangle formed by the lines $y=x$, the X-axis and $x+y=4$, is

• A. $(0,1)$
• B. $[0,1]$
• C. $[0,4]$
• D. None of the above

Answer 1

The correct option is A $(0,1)$

From the figure, y-cordinate of $P$ vary from $0$ to $1$. So, to be an interior point, $0<$ordinate of $P<1$