Home
Class 12
MATHS
A conic has latus rectum length 1, focus...

A conic has latus rectum length 1, focus at (2,3) and the corresponding directrix is x+y -3=0 . Then the conic is

A

a parabola

B

an ellipse

C

a hyperbola

D

a rectangular hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

One focus of a hyperbola is located at the point (1, -3) and the corresponding directrix is the line y = 2. Find the equation of the hyperbola if its eccentricity is (3)/(2)

One focus of a hyperbola is located at the point (1,-3) and the corresponding directrix is the line y=2. Find the equation of the hyperbola if its eccentricty is (3)/(2) .

Show that the equationi of the rectanglar hyperbola whose focus is (1,-1) and the corresponding, directrix x-y+1 is 2xy-4x+4y+1=0

The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are (1, -2 ) and 3x + 4y - 15 = 0 then the eccentricity of the ellipse is

If the focus is (1,-1) and the directrix is the line x+2y-9=0, the vertex of the parabola is

Find the equation of parabola whose focus is (-2,3) and the directrix is 2x+3y=4

find the equation of the ellipse with focus at (1, -1), e=(2)/(3) and directrix as x+y+2=0 .

Find the equation of the ellipse with focus at (1,-1) e= 2/3 and directrix as x+y+2=0 .

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. The angle of inclination of the chord joining the ends of major axis a...

    Text Solution

    |

  2. x^(2) +4y^(2) +2x +16y +k=0 represents an ellipse with ecentricity (...

    Text Solution

    |

  3. A conic has latus rectum length 1, focus at (2,3) and the correspondi...

    Text Solution

    |

  4. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  5. A tangent is drawn to the ellipse (x^(2))/( 27 ) +y^(2) =1 at the poi...

    Text Solution

    |

  6. The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a...

    Text Solution

    |

  7. A, A^(1) are the vertices , S, S^(1) are the foci of an ellipse . T...

    Text Solution

    |

  8. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

    Text Solution

    |

  9. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

    Text Solution

    |

  10. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

    Text Solution

    |

  11. The major axis of an ellipse is y =x and one vertex is at origin , the...

    Text Solution

    |

  12. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  13. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  14. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  15. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  16. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  17. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |

  18. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

    Text Solution

    |

  19. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  20. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |