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What is the value of root(3)(a/(P(c )b^(...

What is the value of `root(3)(a/(P_(c )b^(2)))` ?

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C
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What is the value of root(3)((a)/(P_cb^2)) ?

If alpha, beta are the roots of ax^(2) + bx + c = 0 and c != 0 find the value of (1)/((a alpha+b)^(2))+(1)/((a beta+b)^(2)) interms of a, b, c.

Knowledge Check

  • The equilibrium constant K_(c) for the reaction P_(4(g)) hArr 2P_(2(g)) is 1.4 at 400^(@) C. Suppose that 3 moles of P_(4(g)) and 2 moles of P_(2(g)) are mixed in 2 litre container at 400^(@) C. What is the value of reaction quotient (Q_(c)) ?

    A
    `(3)/(2)`
    B
    `(2)/(3)`
    C
    1
    D
    `(1)/(2) `

  • In DeltaABC , if the sides a,b,c are the roots of x^(3)-11x^(2)+38x-40=0 then the value of (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=

    A
    `(3)/(4)`
    B
    `(9)/(16)`
    C
    `(9)/(8)`
    D
    1

  • If P_(1),P_(2),P_(3) are altitudes of DeltaABC from the vertices A,B,C and Delta is the area of triangle then, 1/P_(1)^(2)+1/P_(2)^(2)+1/P_(3)^(2) =

    A
    `a^(2)+b^(2)+c^(2)/4Delta^(2)`
    B
    `a^(2)-b^(2)-c^(2)/Delta^(2)`
    C
    `a+b+c/Delta`
    D
    `a^(2)+b^(2)+c^(2)/Delta^(2)`

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    If x_(1),x_(2) are the roots of the quadratic equation ax^(2)+bx+c=0 and c ne 0, find the value of (ax_(1)+b)^(-2)+(ax_(2)+b)^(-2) in terms of a,b,c

    If alpha and beta are the roots of ax^(2)+bx+c=0 , find the value of alpha^(2)+beta^(2) and alpha^(3)+beta^(3) in terms of a,b,c.

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    If P_(1),P_(2),P_(3) are altitudes of DeltaABC from the vertices A,B,C and Delta is the area of triangle then, 1/P_(1)^(2)+1/P_(2)^(2)+1/P_(3)^(2) =

    Which of the following statements is true If C = A - B = 60^(@) then the value of (a-b)/(c)= sqrt(3) II If 3tan((A)/(2))tan((C)/(2))=1 , then a,b,c are in A.P

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