Home
Class 12
MATHS
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 `3+sqrt(3)` (b) `2+sqrt(2)` `(sqrt(2))/(sqrt(3-sqrt(5)))` (d) `sqrt(2-sqrt(2))`

A

a) `(sqrt6+1)/2`

B

b) `(sqrt5+1)/2`

C

c) `(sqrt3+1)/2`

D

d) `(sqrt2+2)/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  2. Find the perimeter of the parallelogram whose adjacent sides are 3 and...

    Text Solution

    |

  3. Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 a...

    Text Solution

    |

  4. Write the parametric form of equation of tangents drawn from any point...

    Text Solution

    |

  5. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

    Text Solution

    |

  7. Find the derivative of x^(2)/2 + x + 1

    Text Solution

    |

  8. Find the derivative of secx + cosecx

    Text Solution

    |

  9. Find the derivative of cos(x - pi/8)

    Text Solution

    |

  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

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

    Text Solution

    |

  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

    Text Solution

    |

  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  14. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  15. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  16. An ellipse is inscribed in a circle and a point within the circle is c...

    Text Solution

    |

  17. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  18. If one of the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2bx+c=0 lies w...

    Text Solution

    |

  19. The equation of the locus of the middle point of the portion of the ta...

    Text Solution

    |

  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |