The equivalent capacitance between points A and B will be

Options

A. `PrarrIV, QrarrII, R rarrI,SrarrIII`
B. `PrarrIV,QrarrIII,R rarrI, SrarrII`
C. `PrarrIV,QrarrI,R rarrIII, SrarrII`
D. `PrarrIII, QrarrIV,R rarrII, S rarrI`

Answer

B

Explanation

`" Area of " DeltaLMN=4sqrt3`
`(1)/(2)(2b)(sqrt3b)=4sqrt3`
`rArr" "b^(2)=4rArrb=2rArr2b=4`
Here, `(a)/(b)=cot 30^(@)rArra=sqrt3b rArra=2sqrt3`
Now, `b^(2)=a^(2)(e^(2)-1)`
`therefore" "4=12(e^(2)-1)`
`rArr" "e^(2)=1+(1)/(3)=(4)/(3)`
`rArr" "e=(2)/(sqrt3)`
`"Distance between foci"=2ae=2xx2sqrt3xx(2)/(sqrt3)=8`
`"Lenght of latus rectum "=(2b^(2))/(a)=(2xx4)/(2sqrt3)=(4)/(sqrt3)`