Home
Class 12
MATHS
The locus of the vertex of the family of...

The locus of the vertex of the family of parabolas `y=(a^3x^2)/3+(a^(2x))/2-2a` is `x y=(105)/(64)` (b) `x y=3/4` `x y=(35)/(16)` (d) `x y=(64)/(105)`

A

`xy=105/64`

B

`xy=3/4`

C

`xy=35/16`

D

`xy=64/105`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|13 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [a^2x]/2 -2a is:

The vertex of the parabola y^(2)+4x-2y+3=0 is

The vertex of the parabola y^(2) - 4y - 16 x - 12 = 0 is

The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4x+3y)^2 is x+3y=0 (b) 4x+3y=9 3x-4y=13 (d) 4x+3y=0

The equation of the transvers axis of the hyperbola (x-3)^2+(y=1)^2+(4x+3y)^2 is x+3y=0 (b) 4x+3y=9 3x-4y=13 (d) 4x+3y=0

The latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2)

The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a) x=-1 (b) x=1 x=-3/2 (d) x=3/2

Area common to the circle x^2+y^2=64 and the parabola y^2=4x is

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (a) (x^2+y^2)^2=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  4. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  5. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  6. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  7. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

    Text Solution

    |

  8. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  9. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  10. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  11. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  14. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |