Home
Class 12
MATHS
If e and e^(prime) be eccentricity of tw...

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

A

hyperbolas

B

ellipses

C

parabolas

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

If e and e^(prime) are eccentricities of a hyperbola its conjugate, then (1)/(e^(2))+(1)/((e^(1))^(2))=

If e and e^(prime) are the eccentricities of the ellipse 5 x^(2)+9 y^(2)=45 and the hyperbola 5 x^(2)-4 y^(2)=45 respectively, then ee'=

If e_(1) and e_(2) are the eccentricities of a hyperbola and its conjugate then

If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c^2 , then e^2+e'2 equals :

If e_1 and e_2 are the eccentricities of a hyperbola and its conjugate then prove that (1)/(e_1^2)+(1)/(e_2^2)=1 .

If e and e' be the eccentricities of a hyperbola and its conjugate , then 1/e^2+1/(e'^2) equals :

The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S and S^(prime) , then S P+S^(prime) P=

If the quadrilateral formed by the lines a x+b y+c=0, a^(prime) x+b^(prime) y+c=0 a x+b y+c^(prime)=0, a^(prime) x+b^(prime) y+c^(prime)=0 have perpendicular diagonals, then

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 and e_(2) is the eccentricity of the hyperbola passing through the foci of the ellipse and e_(1) . e_(2)=1 , then the equation of the hyperbola

If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L is its semi latus rectum then S P, S L, S P^(prime) are in

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

    Text Solution

    |

  2. If e1 and e2 are the eccentricities of a hyperbola and its conjugate t...

    Text Solution

    |

  3. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  4. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

    Text Solution

    |

  5. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  6. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |

  7. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 , which of the f...

    Text Solution

    |

  8. An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. Th...

    Text Solution

    |

  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  10. The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 i...

    Text Solution

    |

  11. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

    Text Solution

    |

  12. Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  13. If e and e^(prime) be eccentricity of two conics S=0 and S^(prime)=0 a...

    Text Solution

    |

  14. If the line y=2 x+lambda be a tangent to the hyperbola 36 x^(2)-25 y^(...

    Text Solution

    |

  15. The eccentricity of the hyperbola can never be equal to

    Text Solution

    |

  16. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

    Text Solution

    |

  17. The value for m for which the line y=m x+(25)/(sqrt(3)) is a normal to...

    Text Solution

    |

  18. The value of m for which the line y=m x+2 becomes a tangent to the hyp...

    Text Solution

    |

  19. If t is a parameter, then x=a(t+(1)/(t)), y=b(t-(1)/(t)) represents

    Text Solution

    |

  20. The product of the lengths of perpendiculars drawn from any point on t...

    Text Solution

    |