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If the maximum distance of any point on ...

If the maximum distance of any point on the ellipse `x^2+2y^2+2x y=1` from its center is `r ,` then `r` is equal to

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

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  2. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  3. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

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  4. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

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  5. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

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  6. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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  7. The equation of the ellipse whose axes are coincident with the coor...

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  8. Tangent are drawn to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 parallel ...

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  9. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

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  10. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

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  11. Let p be the perpendicular distance from the centre C of the hyperbola...

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  12. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

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  13. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

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  14. Let any double ordinate PNP' of the hyperbola (x^(2))/(25)-(y^(2))/(16...

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  15. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

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  16. If from a point P(0,alpha) , two normals other than the axes are drawn...

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  17. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  18. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

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  19. Let the distance between a focus and the corresponding directrix of an...

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  20. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

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