First slide

Equation of line in Straight lines

Question

The point $(1, β)$ lies on or inside the triangle formed by the lines y = x, x-axis and x + y = 8, if

Moderate

A

$0 < β < 1$
B

$0 \leq β \leq 1$
C

$0 < β < 8$
D

none of these

Solution

The point $(1, β)$ lies on the line x = 1, for all real $β$ . Clearly, from the figure, it will lie on or inside the triangle formed by the given lines if $0 \leq β \leq 1$ .

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