AOB is the positive quadrant of the ellipse x2-a2-y2-b2-1 where OA-a- OB-b- Then area between the arc AB and chord AB of the ellipse is

AOB is the positive quadrant of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ where $O A = a, O B = b,$ Then the area between the arc AB and the chord AB of the ellipse is

Q. If

A O B

is the positive quadrant of the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

in which

O A = a, O B = b .

Then area enclosed between acr

A B

and chord

A B

of the ellipse is

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AOB is the positive quadrant of the ellipse x2a2+y2b2=1 where OA=a, OB=b. Then area between the arc AB and chord AB of the ellipse is

The correct option is D ab(π−2)4The area between the chord AB and arc AB of ellipse will beArea of sector AOB− Area of △ AOB=πab4−12×a×b=πab4−2ab4=14ab(π−2) squnits

$A O B$ is the positive quadrant of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ where $O A = a, O B = b$ . Then area between the arc $A B$ and chord $A B$ of the ellipse is

The correct option is D $\frac{a b (π - 2)}{4}$
The area between the chord $A B$ and arc $A B$ of ellipse will be
Area of sector $A O B -$ Area of $△$ AOB
$= \frac{π a b}{4} - \frac{1}{2} \times a \times b$
$= \frac{π a b}{4} - \frac{2 a b}{4} = \frac{1}{4} a b (π - 2) s q u n i t s$