Home
Class 12
MATHS
find the area common to the circle x^2y^...

find the area common to the circle `x^2y^2=16 a^2` and the parabola `y^2=6a xdot` Or Find the area of the region `{(x , y): y^2lt=6a\ }a n d{(x , y): x^2+y^2geq16 a^2}dot`

A

`(a^(2))/(3)(4pi+sqrt(3))` sq. units

B

`(4a^(2))/(3)(4pi+sqrt(3))` sq. units

C

`(2a^(2))/(3)(4pi+sqrt(3))` sq. units

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8.1|13 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8.2|7 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B Multiple Choice Questions|10 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|24 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

Find the area common to the circle x^2+y^2=16a^2 and the parabola y^2=6ax,agt0.

Area common to the circle x^2+y^2=64 and the parabola y^2=4x is

Find the area of the region {(x , y): x^2lt=ylt=|x|}dot

find the common tangents of the circle x^2+y^2=2a^2 and the parabola y^2=8ax

Find the area of the region {(x , y): x^2+y^2lt=1lt=x+y}dot

Find the area of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}

Find the area of the region {(x,y): x^(2)+y^(2) le 1 le x + y}

Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

The area common to the circle x^2 + y^2 = 64 and the parabola y^2 = 12x is equal to