Home
Class 12
MATHS
If the foci of the ellipse (x^2)/(16)+(y...

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

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( b \) such that the foci of the given ellipse and hyperbola coincide. ### Step-by-Step Solution: 1. **Identify the equations of the ellipse and hyperbola:** - The ellipse is given by: \[ \frac{x^2}{16} + \frac{y^2}{b^2} = 1 ...
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|11 Videos

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 7.1|3 Videos

  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise Multiple Correct Answer Type|2 Videos

Similar Questions

Explore conceptually related problems

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 write the value of b^2dot

The foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbla (x^2)/(144)-(y^2)/(81)=(1)/(25) coincide. Then, the value of b^(2) is

The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 are

If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hyperbola (x^(2))/(4) - ( y^(2))/( b^(2) ) =1 coincide ,then b^(2)=

The ellipse (x^(2))/(25)+(y^(2))/(16)=1 and the hyperbola (x^(2))/(25)-(y^(2))/(16) =1 have in common

Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

The vertex of ellipse (x^(2))/(16)+(y^(2))/(25)=1 are :

The foci of the ellipse ((x-3)^(2))/(36)+((y+2)^(2))/(16)=1, are

The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

What are the foci of the hyperbola x^(2)/(36)-y^(2)/(16)=1