Home
Class 12
MATHS
Prove that the area bounded by the circl...

Prove that the area bounded by the circle `x^2+y^2=a^2` and the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is equal to the area of another ellipse having semi-axis `a-b` and `b ,a > b` .

A

`a+b and b`

B

`a-b and a`

C

a and b

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    VK JAISWAL|Exercise Exercise-2 : Comprehension Type Problems|5 Videos
  • ELLIPSE

    VK JAISWAL|Exercise Exercise-3 : Matching Type Problems|1 Videos
  • DIFFERENTIAL EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos
  • FUNCTION

    VK JAISWAL|Exercise SUBJECTIVE TYPE PROBLEMS|34 Videos

Similar Questions

Explore conceptually related problems

Area bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 is equal to

The circle x^2+y^2=c^2 contains the ellipse x^2/a^2+y^2/b^2=1 if

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the area enclosed by the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is pi ab

The area bounded by the ellipse x^(2)/4 + y^(2)/25 = 1 is

Prove that area common to ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its auxiliary circle x^(2)+y^(2)=a^(2) is equal to the area of another ellipse of semi-axis a and a-b .

Find the area of the region bounded by the latus recta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the targets to the ellipse drawn at their ends

Find the area of the region bounded by the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1