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If P(1+^t//sqrt2,2+^t//sqrt2) be any poi...

If `P(1+^t//_sqrt2,2+^t//_sqrt2)` be any point on a ine then range of values of t for whic the point P lies between the parallel line x+2y=1 and 2x+4y=15 and intergral value of t is

A

`-(4sqrt2)/5lttlt(5sqrt2)/6`

B

`-(4sqrt2)/3lttlt(5sqrt2)/6`

C

t=1

D

t=2

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of the values of t for which the point P lie between the parallel line x+2y=1 and 2x+4y=15 is

    A
    `-4sqrt2//3lttlt5sqrt2//6 `
    B
    `0lt t lt 5sqrt2//6`
    C
    `4sqrt2lttlt0`
    D
    none of these

  • If the point P(a^2,a) lies in the region corresponding to the acute angle between the line 2y=x and 4y=x, then

    A
    `a in [2,4]`
    B
    `a in [2,4]`
    C
    `a in [2,5]`
    D
    `a in [2,4]`

  • The+ve value of a for which the image of (a,a-1) w.r.t the line x+y=6a is point (a^2+1,a) is

    A
    0
    B
    1
    C
    2
    D
    -1

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