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If S=(a)/(1-r^(3)), then expres r in ter...

If `S=(a)/(1-r^(3))`, then expres r in terms of S and a.

A

`r=root(3)(1+(a)/(S))`

B

`r=root(3)(1+(S)/(a))`

C

`r=root(3)(1-(S)/(a))`

D

`r=root(3)(1-(a)/(S))`

Text Solution

Verified by Experts

The correct Answer is:
D
`S=(a)/(1-r^(3))Rs`
`implies1-r^(3)=(a)/(S)impliesr^(3)=1-(a)/(S)`
`thereforer=root(3)(1-(a)/(S))`
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PEARSON IIT JEE FOUNDATION-Formulae-Level 2
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  2. If H=(2b)/(a+b), then make b as the subject of the formula.

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  3. In (x)/(a)+(x)/(b)=1, make b as the subject of the formula.

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  4. The volume of a cone is V=(1)/(3)pir^(2)h. Make r as the subject of th...

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  5. In the formula V=(1)/(3)pr^(2)h, if V=9.42 units, h=4 units and pi=3.1...

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  6. If (1)/(f)=(1)/(u)+(1)/(v), then make v as the subject o the foormula....

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  7. In S=pisqrt(r^(2)+h^(2)), make h as the subject of the formula.

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  8. The general form of a straight line is ax+by+c=0, where a,b,c ne0. Mak...

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  9. The volume of a sphere is given by V=(4)/(3)pir^(3) Make r as the subj...

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  10. Frame the formula: The square of the difference of p and q is equal to...

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  11. In the formula p^(4)-q^(3)=r^(2)-s, make p as the subject of the formu...

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  12. The total surface area of a cuboid is S=2(lb+bh+lh). Make l as the sub...

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  13. What are the auxiliary formulae of the statement "sum of the angles of...

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  14. If S=(a)/(1-r^(3)), then expres r in terms of S and a.

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  15. In S=ut+(1)/(2)at^(2), S=96,t=8 and a=2, find u.

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  16. If C=(5)/(9)(F-32), then express F in terms of C.

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  17. If a=b-sqrt(b^(2)-1), express b in terms of a.

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  18. If (1)/(a)+(1)/(b)=(1)/(c)+(1)/(d), express a in terms of b,c and d.

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  19. If A=sqrt((s-a)(s-b)(s-c)), then express c in terms of A,s,a and b.

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  20. S=(h)/(2)[2a+(h-1)d], express d in terms of s, h and a.

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