First slide

Equation of line in Straight lines

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

Difficult

A

(0, 1)
B

[0, 1]
C

[0, 4]
D

(0, 4)

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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