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 , OB=b .
Then show that the area bounded between the chord AB and the arc AB of the ellipse is `((pi-2)ab)/(4)`

Promotional Banner

Topper's Solved these Questions

  • AREAS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|28 Videos

  • AREAS

    AAKASH SERIES|Exercise EXERCISE - I|20 Videos

  • AREAS

    AAKASH SERIES|Exercise EXERCISE - 3 (VERY SHORT ANSWER QUESTIONS)|18 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

Similar Questions

Explore conceptually related problems

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then its eccentricity e is

The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which pass through foot of a directrix

Let S, S' be the focii and B, B' be the minor axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if angle BSS'= theta and eccentrictiy of the ellipse is e, then show that e=cos theta

Show that the area of the region bounded by (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (ellipse) is pi ab. Also deduce the area of the circle x^(2)+y^(2)=a^(2)

Area of the largest rectangle that can be inscribed in the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is