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If the point (a,a) lies between the line...

If the point (a,a) lies between the lines `|x+y|=2`, then show that `|a|lt1`.

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Knowledge Check

  • If the point (a, a) falls between the lines | x + y|= 2 then

    A
    `|a|=2`
    B
    `|a|=1`
    C
    `|a| lt 1`
    D
    `|a| lt (1)/(2)`

  • If the point (a,a) falls between the lines abs(x+y)=2 , then :

    A
    `absa=2`
    B
    `absa=1`
    C
    `absalt1`
    D
    `absalt1/2`

  • If sinxgt-1/2 then x lies between

    A
    `2npi-(pi)/3lt x lt 2n pi +(4pi)/3, n in Z`
    B
    `2np -(pi)/6lt x lt 2npi+(7pi)/6, n in Z`
    C
    `2npi-(pi)/6 lt xlt 2npi+(5pi)/6, n in Z`
    D
    `2npi-(pi)/3lt xlt 2npi+(2pi)/3, n in Z`

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