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If the vertex of coinc y^(2)-4y=4x-4a al...

If the vertex of coinc `y^(2)-4y=4x-4a` always lies between the straight lines , `x+y=3` and `2x+2y-1=0` then

A

`2 lt a lt 4`

B

`-(1)/(2)lt a lt 2`

C

`0 lt a lt 2`

D

`-(1)/(2)lt a lt 3//2`

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Knowledge Check

  • If the vertex of the conic y^(2) - 4y= 4 x - 4a always lies between the straight lines x + y = 3 and 2 x + 2y - 1 = 0 . Then

    A
    ` 2 lt a lt 4`
    B
    `-(1)/(2) lt a lt 2`
    C
    `0 lt a lt 2 `
    D
    `-(1)/(2) lt a lt (3)/(2)`

  • If the vertex of the conic y^(2) - 4y = 4 x - 4a always lies between the straight lines x + y = 3 and 2 x + 2y - 1 = 0 then

    A
    `2 lt a lt 4 `
    B
    `-(1)/(2) lt a lt 2 `
    C
    `0 lt a lt 2 `
    D
    `-(1)/(2) lt a lt (3)/(2) `

  • The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

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