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

The locus of the vertices of the family of parabolas `y=(a^3x^2)/3+(a^2x)/2-2a` is

A

`xy=3/4`

B

`xy=(35)/(16)`

C

`xy=(64)/(105)`

D

`xy=(105)/(64)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|2 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

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

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

The locus of the vertex of the family of parabolas y=x^(2)+2ax-1 ,is

" The locus of the vertices of the family of parabolas " y=ax^(2)+2a^(2)x+1 " is " (a!=0) " a curve passing through the point "

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

The locus of point of trisections of the focal chord of the parabola,y^(2)=4x is :

The order of the differential equation of the family of parabolas with directrix x+y=2

The value of k such that the family of parabolas y=cx^(2)+k is the orthogonal trajectory of the family of ellipse x^(2)+2y^(2)-y=c, is

Find the locus of the middle points of the chords of the parabola y^(2) = 4x which touch the parabola x^(2) = -8y .