Home
Class 12
MATHS
Let AOB be the positive quadrant of the ...

Let AOB be the positive quadrant of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` with `OA=a` and `OB=b`. Show that the area bounded between the chord AB and the arc AB of the ellipse is `((pi-2)/(4))` ab sq units.

A

`(pi ab)/(2)`

B

`(pi ab)/(4)`

C

`((pi-1)/(4))ab`

D

`((pi-2)/(4))ab`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let AOB be the positive quadrant of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with OA=a , OB=b . Then show that the area bounded between the chord AB and the arc AB of the ellipse is ((pi-2)ab)/(4)

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

A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in which O A=a ,O B=b . Then find the area between the arc A B and the chord A B of the ellipse.

A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which has O A=a ,O B=b . Then find the area between the arc A B and the chord A B of the ellipse.

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The area bounded by the ellipse b^(2)x^(2) + a^(2) y^(2) = a^(2) b^(2) is

If PSQ is a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 agtb then harmonic mean of SP and SQ is

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

The length of latus rectum AB of ellipse (x^(2))/4+(y^(2))/3=1 is :