Home
Class 11
MATHS
If foci of the ellipse (x^(2))/(16) + (y...

If foci of the ellipse `(x^(2))/(16) + (y^(2))/(b^(2)) = 1` coincide with the foci of the hyperbola `(x^(2)/(144) - (y^(2))/(81)) = (1)/(25)`, then the value of `b^(2)` is -

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE|10 Videos
  • DIAGRAMMATIC REPRESENTATION OF DATA

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short Answer Type Question)|7 Videos
  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

The foci of the hyperbola 4x^2-9y^2=36 is

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

Find the coordinates of the foci of the hyperboala x^(2) - y^(2) + 1 =0

The coordinates of foci of the hyperbola x^(2) - y^(2) = 4 are-

If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola (x^2)/(144)-(y^2)/(81)=1/(25) coincide, then find the value of b^2

If e_1 is the eccentricity of the hyperbola (y^(2))/(b^(2)) - (x^(2))/(a^(2)) = 1 then e_(1) =

Find the coordinates of the foci of the rectangular hyperbola x^(2)-y^(2) = 9

The ellipse (x^(2))/(169) + (y^(2))/(25) = 1 has the same eccentricity as the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 . Find the ratio (a)/(b) .

Calculate the eccentricity of the ellipse (x^(2))/(169)+(y^(2))/(144) = 1

The coordinates of the vertices of the hyperbola 9x^(2)-16y^(2)=144 are-