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If m(1),m(2) be the roots of the equatio...

If `m_(1),m_(2)` be the roots of the equation `x^(2)+(sqrt(3)+2)x+sqrt(3)-1 =0`, then the area of the triangle formed by the lines `y = m_(1)x,y = m_(2)x` and `y = 2` is

A

`sqrt(33)+sqrt(11)`

B

`sqrt(33)-sqrt(11)`

C

`2sqrt(33)`

D

`2sqrt(11)`

Text Solution

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The correct Answer is:
A
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If m_(1) and m_(2) are roots of equation x^(2)+(sqrt(3)+2)x+sqrt(3)-1=0 the the area of the triangle formed by lines y=m_(1)x,y=m_(2)x,y=c is:

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Knowledge Check

  • If m_(1) and m_(2) are the roots of an equation x^(2)+(sqrt(3)+2)x+(sqrt(3)-1)=0 , then the area of the triangle formed by the lines y=m_(1)x,y=m_(2)x,y=c is

    A
    `((sqrt(33)+sqrt(11))/(4))c^(2)`
    B
    `((sqrt(32)+sqrt(11))/(16))c`
    C
    `((sqrt(33)+sqrt(10))/(4))c^(2)`
    D
    `((sqrt(33)+sqrt(21))/(4))c^(3)`

  • If m_(1) and m_(2) are the roots of an equation x^(2)+(sqrt3+2)x+(sqrt3-1)=0 , then the area of the triangle formed by the lines y=m_(1)x,y=m_(2)x,y=c is

    A
    `((sqrt33+sqrt11)/(4))c^(2)`
    B
    `((sqrt32+sqrt11)/(16))c`
    C
    `((sqrt33+sqrt10)/(4))c^(2)`
    D
    `((sqrt33+sqrt21)/(4))c^(3)`

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    If m_(1) and m_(2) are roots of equation x^(2)+(sqrt(3)+2)x+sqrt(3)-1=0 then the area of the Delta formed by lines y=m_(1)x,y=m_(2)x,y=c is

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