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Write all the possible related auxiliary...

Write all the possible related auxiliary formulae from A=`pi(R^(2)-r^(2))`.

Text Solution

Verified by Experts

The correct Answer is:
`R = sqrt((A)/( pi) + r^(2) ); r = sqrt(R^2 - (A)/( pi))`
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Auxiliary formula of A=pir^(2) is r=(A)/(pi) .

Write all the auxiliary formulae of A=P(1+(TR)/(100)) .

Knowledge Check

  • Write all the possible auxiliary formula of A = pi (R^(2) - r^(2)) .

    A
    ` R = sqrt((A-pi r^(2))/(pi))= sqrt((R^(2)pi+A^(2))/(pi ) ) `
    B
    ` R = sqrt((A+pi r ^(2))/(pi )) , r= sqrt((R^(2) pi -A)/(pi))`
    C
    ` r= sqrt((A+pi r^(2))/(pi )), R = sqrt((r^(2) pi - A)/(pi ))`
    D
    ` R = sqrt( (A-pi r^(2))/(pi )), r = sqrt((R^(2)pi -A)/(pi ))`

  • Write all the possible auxiliary formulae of A=pi)R^(2)-r^(2))

    A
    `R=sqrt((A-pir^(2))/(pi)),r=sqrt((R^(2)pi+A^(2))/(pi))`
    B
    `R=sqrt((A+pir^(2))/(pi)),r=sqrt((R^(2)pi-A)/(pi))`
    C
    `r=sqrt((A+pir^(2))/(pi)),R=sqrt((r^(2)pi-A)/(pi))`
    D
    none of these

  • Write the auxiliary formulae related to x^(2)-y^(2)=z^(2) .

    A
    `x=sqrt(y^(2)+z^(2)),y=sqrt(x^(2)-z^(2)) and z=sqrt(x^(2)-y^(2))`
    B
    `x=sqrt(z^(2)+y^(2)),y=sqrt(z^(2)+x^(2)) and z^(2)=sqrt(x^(2)-y^(2))`
    C
    `x=sqrt(y^(2)+z^(2)),y=sqrt(x^(2)-z^(2)) and z=sqrt(y^(2)-x^(2))`
    D
    `z=sqrt(x^(2)-y^(2)),y=sqrt(z^(2)+x^(2)) and x=sqrt(x^(2)+y^(2))`

    • Similar Questions

    Explore conceptually related problems

    Write all the auxiliary formulae of A = P (1+(TR)/(100))

    Directions for questions : State whether the following statements are true or false. Auxiliary formula of A = pi r^(2) is r = (A)/( pi) .

    Write all the auxiliary formulae related to x^(2) - y^(2) = z^(2)

    If s=2(lb+hb+hl) , write all the auxiliary formulae of S.

    If s =2 (lb+ bh+hl) . then write all the auxiliary formulae of S.

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