Home
Class 12
MATHS
Show that product of lengths of the perp...

Show that product of lengths of the perpendicular from any point on the hyperbola `x^(2)/(16)-y^(2)/(9)=1` to its asymptotes is `(144)/(25)`.

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Additional Exercise|29 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -I|47 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.3 (Very Short Answer Questions)|6 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

Find the product of lengths of the perpendiculars from any point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 to its asymptotes.

The product of lenghts of perpendicular from any point on the hyperbola x^(2) - y^(2) = 16 to its asymptotes, is

The product of the perpendicular from any point on the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 to its asymptotes is

The product of lengths of the perpendiculars from the point of the hyperbola x^(2)-y^(2)=8 to its asymptotes is

The product of lengths of perpendicular from any point on the hyperola x^(2)-y^(2)=16 to its asymptotes is

Prove that the product of the perpendicular from any point on the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 to its asymptodes is constant.