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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

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(0, 1)

(0, 4)

[0, 1]

[0, 4]

answer is A.

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Detailed Solution

$2 k > 0 \Rightarrow k > 0$

$4 (1 - k) > 0 \Rightarrow k < 1$

$- (1 + k - 4) > 0 \Rightarrow k < 3$

$k \in (0, 1)$

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