Home
Class 12
MATHS
The orbit of Halley's comet is an ellips...

The orbit of Halley's comet is an ellipse 36.18 astronomical units long and 9.12 astronomical units wide. Find its eccentricity.

Text Solution

Verified by Experts

The correct Answer is:
0.97
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.1|12 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.2|8 Videos
  • THEORY OF EQUATIONS

    FULL MARKS|Exercise Additional Questions Solved|30 Videos

Similar Questions

Explore conceptually related problems

A rod of length 1.2 m moves with its ends always touching the coordinate axes. The locus of a point Pon the rod, which is 0.3 m from the end in contact with x-axis is an ellipse. Find the eccentricity.

The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 units and 6 units on the x and y-axis, respectively. If the eccentricity of all such ellipses is 1/2, then find the locus of the focus.

Which of the following is/are true? There are infinite positive integral values of a for which (13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a represents an ellipse. The minimum distance of a point (1, 2) from the ellipse 4x^2+9y^2+8x-36 y+4=0 is 1 If from a point P(0,alpha) two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 then |alpha|<9/4dot If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1sqrt(3)

If the area of a square circumscribing an ellipse is 10 square units and maximum distance of a normal from the centre of the ellipse is 1 unit, than find the eccentricity of ellipse

How many Astronomical units are there in one light year? Given Data: 1 Astronomical unit =1.496xx10^(11)m 1 light year =9.46xx10^(15)m

The area of a rectangle is x^(4) +9x^(2) +20 sq.units and its length is x^(2) + 4 units. Find its breadth in term of x.

A tightly- wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surface current through a width dl of the sheet is Kdl and the number of turns per unit length of the solenoid is n. The magnetic field near the centre of the solenoid is found to be zero. (a) find the current in the solenoid. (b) If the solenoid is rotated to make its axis perpendicular to the metal sheet, what would be the magnitude of the magnetic field near its centre?

In the following physical units, how many units are there in 1 metre? (i) 1 Astronomical unit (AU =1.496xx10^(11)m (ii) 1 light year =9.467xx10^(15)m (iii) 1 micron (mu)=10^(-6)m (iv) 1 parallacti second (parsec) =3.08xx10^(16)m Given data: 1Au=1.496xx10^(11)m 11y=9.467xx10^(15)m 1mm=10^(-6)m 1 parsec =3.08xx10^(16)m

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-II-Additional Question Solved
  1. The orbit of Halley's comet is an ellipse 36.18 astronomical units lon...

    Text Solution

    |

  2. find the equation of the circle with centre (2,3) and passing throu...

    Text Solution

    |

  3. Find the equation of a circle of radius 5 whose centre lies on x-axis ...

    Text Solution

    |

  4. Find the centre and radius of the following circles: x^(2)+y^(2)-2x+...

    Text Solution

    |

  5. Find the equation of the circles whose radius is 4 and whish is concen...

    Text Solution

    |

  6. Show that the four points (1,0), (2,-7), (8,1) and (9,-6) are concycli...

    Text Solution

    |

  7. Find the equation of a circle which passes through the points (1,-2) a...

    Text Solution

    |

  8. Find the equation (s) of the circle passing through the points (1,1) a...

    Text Solution

    |

  9. Find the equation of the ellipse if centres is (3,-4) one of the foci ...

    Text Solution

    |

  10. Find the equation of the hyperbola if centre (1,-2), length of the tra...

    Text Solution

    |

  11. Find axis, vertex focus and equation of directrix for y^(2)+8x-6y+1=0

    Text Solution

    |

  12. Find axis, Vertex, focus and equation of directrix for x^(2)-6x-12y-3=...

    Text Solution

    |

  13. Find the centre, eccentricity, foci, vertices of ellipse x^(2)+4y^(2)-...

    Text Solution

    |

  14. Find the eccentricity, centre, foci, vertices of 9x^(2)+4y^(2)=36

    Text Solution

    |

  15. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  16. Find the eccentricity, centre, foci and vertices of the following hype...

    Text Solution

    |

  17. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  18. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  19. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  20. Identify the type of conic section for each of the following equations...

    Text Solution

    |

  21. Identify the type of conic section for each of the following equations...

    Text Solution

    |