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Vector Component

The point 1...

Question

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

A

0 < β < 1

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B

0 \leq β \leq 1

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C

0 < β < 8

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D

None of these

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Solution

The correct option is B $0 \leq β \leq 1$
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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