Home
Class 12
MATHS
The equivalent capacitance between point...

The equivalent capacitance between points A and B will be

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`

Text Solution

Verified by Experts

The correct Answer is:
B


`" 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)`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise NUMERICAL VALUE TYPE|14 Videos
  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise JEE MAIN|3 Videos
  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise COMOREHENSION TYPE|21 Videos
  • HIGHT AND DISTANCE

    CENGAGE PUBLICATION|Exercise Archives|3 Videos
  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the equivalent capacitance between A and B.

Find the equivalent capacitance between A and B.

Find the equivalent capacitance between A and C.

Find the equivalent resistance between points A and B in the following circuit.

ABC is a triangle made up of wire.The resistances of the sides AB, BC and CA are respectively 40, 60 and 100Omega The equivalent resistance between the points A and B is :

The equivalent resistance between the points a and b of the electrical network shown in the figure is

The resultant capacity between the points A and B in the following circuit will be

Equivalent capacitance between A & B in the figure is

Find the equivalent resistance between the points A and B.

Find the equivalent resistance between the points A and B.