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Find the maximum area of the ellipse (x^...

Find the maximum area of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` which touches the line `y=3x+2.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. An ellipse slides between two perpendicular straight lines. Then id...

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  2. Find the locus of the foot of the perpendicular drawn from the cent...

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  3. Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which ...

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  4. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

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  5. Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a ...

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  6. Find the angle between the pair of tangents from the point (1,2) to...

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  7. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

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  8. If alpha and beta are the eccentric angles of the extremities of a f...

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  9. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

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  10. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

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  11. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

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  12. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

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  13. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

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  14. If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is ...

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  15. Find the equations of the tangents drawn from the point (2, 3) to t...

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

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

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

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

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

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