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

If the foci of the ellipse `(x^(2))/(16)+(y^(2))/(b^(2))=1` and the hyperbola `(x^(2))/(144)-(y^(2))/(81)=(1)/(125)` coincide, the find the value of `b^(2)`.

A

1

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE)|1 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS)|5 Videos
  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 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,then find the value of b^(2)

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^(2).

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

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

If the foci of the ellipse (x^(2))/(25)+(y^(2))/(b^(2))=1 and the hyperbola (x^(2))/(144)-(y^(2))/(81)=(1)/(25) coincide,then length of semi-minor axis is

Foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(alt b) are

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