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If sin theta and costheta are the roots ...

If `sin theta` and `costheta` are the roots of the equation `ax^2+bx+c=0`, then a,b and c satisfy the relation

A

`a^b+b^2+2ac=0`

B

`a^b-b^2+2ac=0`

C

`a^b+c^2+2ab=0`

D

`a^b-b^2-2ac=0`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If tan theta and sec theta are the roots of the equation ax^(2)+bx+c=0 , then

    A
    `a^(3)+b^(3)+c^(3)-3abc=0`
    B
    `a^(2)-b^(2)+2ac=0`
    C
    `a^(4)+4ab^(2)c-b^(4)=0`
    D
    none of these

  • If sintheta and costheta are roots of equation ax^(2) + bx + c =0 , then

    A
    `(a-c)^(2) = b^(2) - c^(2)`
    B
    `(a-c)^(2) = b^(2) + c^(2)`
    C
    `(a+c)^(2) = b^(2) - c^(2)`
    D
    `(a+c)^(2) = b^(2) + c^(2)`

  • If sin theta and -cos theta are the roots of the equation ax^(2) - bx - c = 0 , where a, b, and c are the sides of a triangle ABC, then cos B is equal to

    A
    `1 - (c)/(2a)`
    B
    `1 - (c)/(a)`
    C
    `1 + (c)/(2a)`
    D
    `1 + (c)/(3a)`

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