Home
Class 11
MATHS
If e and e' be the eccentricities of two...

If `e` and `e'` be the eccentricities of two conics `S=0` and `S'=0` and if `e^(2)+e'^(2)=3`, then both `S` and `S'` can be

A

ellipses

B

parabolas

C

hyperbolas

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (H) (LONG ANSWER TYPE QUESTIONS I )|6 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If e_(1) and e_(2) are the eccentricities of two conics with e_(1)^(2) + e_(2)^(2) = 3 , then the conics are

If (3,4) and (5,12) are the foci of two conics both passing through origin, and the eccentricities of the conics are e_(1) and , e_(2) where e_(1)>e_(2) ,then (4e_(1))/(e_(2)) is equal to

If e_(1) is the eccentricity of the conic 9x^(2)+4y^(2)=36 and e_(2) is the eccentricity of the conic 9x^(2)-4y^(2)=36 then e12-e22=2 b.e22-e12=2c.2 3

Eccentricity of the conic represented by x=e+ e-a,y=ea-e-ais2/3

Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2= 2. The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=[2sqrt2]/3.If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):

Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2= 2. The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=[2sqrt2]/3.If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):

When the eccentricity 'e ' of a hyperbola S=0 lies between 1 and sqrt2 then the number of perpendicular tangents that can be drawn to the hyperbola is

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  2. If the distance between the foci of a hyperbola is 16 and its eccen...

    Text Solution

    |

  3. The length of the transverse axis of a hyperbola is 7 and it passes th...

    Text Solution

    |

  4. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

    Text Solution

    |

  5. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

    Text Solution

    |

  6. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

    Text Solution

    |

  7. Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

    Text Solution

    |

  8. For the circle x^(2) + y^(2) = 25, the point (-2.5, 3.5) lies :

    Text Solution

    |

  9. (i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Cen...

    Text Solution

    |

  10. Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

    Text Solution

    |

  11. The focus of the parabola y^(2) = - 4ax is :

    Text Solution

    |

  12. The length of latus-rectum of parabola x^(2) = - 16 y is :

    Text Solution

    |

  13. The eccentricity of the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ...

    Text Solution

    |

  14. If the slope of the line containg the point (2,5) and (x, - 4) is 3, t...

    Text Solution

    |

  15. If the slope of a line is not defined then the line :

    Text Solution

    |

  16. Eccentricity of the hyperbola x^(2) - y^(2) = a^(2) is :

    Text Solution

    |

  17. The foci of the ellipse (x^(2))/(4) +(y^(2))/(25) = 1 are :

    Text Solution

    |

  18. The co-ordinates of the foci of the ellipse 9x^(2) + 4y^(2) = 36 are ...

    Text Solution

    |

  19. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  20. The equatio (x ^(2 ))/( 2 -r) + (y ^(2))/(r -5) +1=0 represents an ell...

    Text Solution

    |