Home
Class 12
MATHS
Two parabola have the same focus. If the...

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

A

1

B

`-1`

C

`(3)/(4)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Two parabolas have the same focus. If their directrices are the x-axis & the y-axis respectively, then the slope of their common chord is

Two parabola have the focus (3, 2). Their directrices are the x-axis and the y-axis respectively. Then the slope of their common chord is

Wrtie the slope of X-axis and Y-axis .

The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at

Two unequal parabolas have the same common axis which is the x-axis and have the same vertex which is the origin with their concavities in opposite direction.If a variable line parallel to the common axis meet the parabolas in P and P' the locus of the middle point of PP' is

Let there be two parabolas with the same axis, focus of each being exterior to the other and the latus rectam being 4a and 4b. The locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis is a:

Two parabola with a coomon vertex and with axes along x-axis and y-axis, respectively intersect each other in the first quadrant . If the length of the latus rectum of each parabola is 3 , then the equation of common tangent to the two parabola is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. y^2-2x-2y+5=0 represents

    Text Solution

    |

  2. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

    Text Solution

    |

  3. Two parabola have the same focus. If their directrices are the x-axis ...

    Text Solution

    |

  4. The normal to parabola y^(2) =4ax from the point (5a, -2a) are

    Text Solution

    |

  5. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

    Text Solution

    |

  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  7. Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with ...

    Text Solution

    |

  8. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  9. The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(...

    Text Solution

    |

  10. Chord of contact of tangents drawn from the point M(h, k) to the ellip...

    Text Solution

    |

  11. Equation ofa tangent passing through (2, 8) to the hyperbola 5x^(2) - ...

    Text Solution

    |

  12. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  13. The angle between a pair of tangents drawn from a point P to the hyper...

    Text Solution

    |

  14. Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2)...

    Text Solution

    |

  15. A normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 meets the axes at ...

    Text Solution

    |

  16. If one of varying central conic (hyperbola) is fixed in magnitude and ...

    Text Solution

    |

  17. For the equation of rectangular hyperbola xy = 18

    Text Solution

    |

  18. The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and ...

    Text Solution

    |

  19. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

    Text Solution

    |

  20. If the tangent at the point (asec alpha, b tanalpha ) to the hyberbola...

    Text Solution

    |