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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` .

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the equations of the tangents drawn from the point (2, 3) to t...

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  3. Prove that the area bounded by the circle x^2+y^2=a^2 and the ellip...

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  4. If the normal at P(2,(3sqrt(3))/2) meets the major axis of ellipse...

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  5. Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major...

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  6. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

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  7. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  8. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

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  9. If omega is one of the angles between the normals to the ellipse (x^...

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  10. If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets t...

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  11. P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the correspond...

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  12. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

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  13. If the normals to the ellipse x^2/a^2+y^2/b^2= 1 at the points (x1, y...

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  14. Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

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  15. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  16. If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts e...

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  17. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

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  18. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

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  19. If F1 and F2 are the feet of the perpendiculars from the foci S1a ...

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  20. If the tangent at any point of the ellipse (x^2)/(a^3)+(y^2)/(b^2)=1 m...

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