Home
Class 12
MATHS
The eccentricity of ellipse ax^2 + by^2 ...

The eccentricity of ellipse `ax^2 + by^2 + 2gx + 2fy + c = 0` if its axis is parallel to x-axis is

A

(a)`sqrt(((b-a)/b)`

B

(b)`sqrt(((a+b)/b)`

C

(c)`sqrt(((a+b)/a)`

D

(d)None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 4x^2 + 9y^2 = 36 is :

The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

At what points on the curve x^2 + y^2 - 2x -4y +1 = 0 is the tangent parallel to y-axis ?

At what points on the curve x^2 +y^2 -2x-3= 0 , the tangent is parallel to y-axis?

Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a . Let the line parallel to y-axis passing through P meet the circle x^2 +y^2=a^2 at the point Q such that P and Q are on the same side of x-axis. For two positive real numbers r and s, find the locus of the point R on PQ such that PR : RQ = r : s and P varies over the ellipse.

Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola whose axis is parallel to the x-axis.

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

The eccentricity of an ellipse, with its centre the origin, is 1/2 . If one of the directrices is x = 4, the equation of the ellipse is :

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

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

    |