Home
Class 12
MATHS
Two parabola have the focus (3, 2). Thei...

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

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos
  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

Similar Questions

Explore conceptually related problems

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:

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

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

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

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

The family of parabolas with a common vertex at the origin whose foci are on the x-axis and the directrices are parallel to the y-axis can have the equation (a being a parameter)

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:

A DAS GUPTA-Miscellaneous Exercises-Exercise
  1. Total number of solutions of the equation x² -4-[x]=0 are (where (.) d...

    Text Solution

    |

  2. Let a, b be the roots of the equation x^2 - kx + k = 0, k in R. If a^2...

    Text Solution

    |

  3. Two parabola have the focus (3, 2). Their directrices are the x-axis a...

    Text Solution

    |

  4. Let alpha in R. prove that a function f: R-R is differentiable at...

    Text Solution

    |

  5. Find the lim(x to 0) frac{sqrt(x+2) -sqrt2}{root(3)(1-x) - sqrt(1+x)}.

    Text Solution

    |

  6. Two parabolas y(2) = 4a(x – 1l(1)) and x(2) = 4a(y – l(2)) always touc...

    Text Solution

    |

  7. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

    Text Solution

    |

  8. Let f(x),xgeq0, be a non-negative continuous function, and let f(x)...

    Text Solution

    |

  9. Let b!=0 and for j=0,1,2,....,n. Let S(j) be the area of the region bo...

    Text Solution

    |

  10. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

    Text Solution

    |

  11. A hemi-spherical tank of radius 2 m is initially full of water and ...

    Text Solution

    |

  12. I(n) is the area of n sided refular polygon inscribed in a circle unit...

    Text Solution

    |

  13. For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...

    Text Solution

    |

  14. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |

  15. If vecu, vercv, vecw be three noncoplanar unit vectors and alpha,beta,...

    Text Solution

    |

  16. If P(1)=0a n d(d P(x))/(dx),sinx+2xgeq(3x(x+1))/pi . Explain the ident...

    Text Solution

    |

  17. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

    Text Solution

    |

  18. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

    Text Solution

    |

  19. If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f...

    Text Solution

    |

  20. A is targeting to B, B and C are targeting to A. probability of hittin...

    Text Solution

    |