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cosec18^(@) is a root of the equation :...

`cosec18^(@)` is a root of the equation :

A

`4x^(2)+2x-1=0`

B

`x^(2)+2x-4=0`

C

`x^(2)-2x+4=0`

D

`x^(2)-2x-4=0`

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Knowledge Check

  • If sec alpha and cosec alpha are the roots of the equation x^2-px+q=0 , then

    A
    `p^2=p+2q`
    B
    `q^2=p+2q`
    C
    `p^2=q(q+2)`
    D
    `q^2=p(p+2)`
  • If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=0, then

    A
    `a^(2)=b(b-2)`
    B
    `a^(2)=b(b+2)`
    C
    `a^(2)+b^(2)=2b`
    D
    none of these
  • If sin x + cosec x + tan y + cot y =4 where x and y in [ 0 (pi)/(2)], then tan "" (y)/(2) is a root of the equation

    A
    `alpha ^(2) + 2 alpha + 1=0`
    B
    `alpha ^(2) + 2 alpha -1 =0`
    C
    `2 alpha ^(2) - 2 alpha -1 =0`
    D
    `alpha ^(2) - alpha -1 =0`
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    Let two numbers have arithmatic mean 9and geometric mean 4 .Then these numbers are roots of the equation (a) x^(2)+18x+16=0 (b) x^(2)-18x-16=0 (c) x^(2)+18x-16=0( d) x^(2)-18x+16=0

    What is the ratio of sum of squares of roots to the product of the roots of the equation 7x^(2) + 12x + 18 = 0 ?

    If the slope and the y-intercept of a line are the roots of the equation x^(2) - 7 x - 18 = 0 , then the equation of the line can be "_______" .

    The number of integral roots of the equation x ^(8) -24x ^(7) -18x ^(5) +39x ^(2) +1155=0 is:

    The value of cosec 18^@ is the root of which of the following quadratic equation