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)/(25)`coincide then the value of `b^(2)`is

A

1

B

7

C

5

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 9

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • SOLVED PAPER 2011

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|58 Videos

Similar Questions

Explore conceptually related problems

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

The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

The eccentricity to the ellipse (x^(2))/(36)+(y^(2))/(16)=1 is

Find the foci of the ellipse x^2/25+y^2/16=1

If e_(1) and e_(2) are eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively, then the relation between e_(1) and e_(2) is

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

The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=1 and (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and equal , then the value (a)/(b) , is

The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

Find the foci and eccentricity of ellipse (x^(2))/(16) + (y^(2))/(9) = 1

KCET PREVIOUS YEAR PAPERS-SOLVED PAPER 04-MATHEMATICS
  1. If(0, 6) and (0,3) are respectively the vertex & focus of a parabola t...

    Text Solution

    |

  2. For the ellipse 25x^(2) +9y^(2)-150x-90y +225 =0 the eccentricity e=

    Text Solution

    |

  3. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  4. If Q(1)is the set of all rationals other than 1 with the binary operat...

    Text Solution

    |

  5. The circlex^(2) + y^(2)- 8x + 4y + 4=0 touches

    Text Solution

    |

  6. Which of the following is true?

    Text Solution

    |

  7. The set of all integral multiples of 5 is a subgroup

    Text Solution

    |

  8. The value of k so that x^(2)+y^(2)+kx + 4y+ 2=0 and 2(x^(2) + y^(2)) -...

    Text Solution

    |

  9. lim(x rarr oo) (1-4/(x-1))^(3x-1) =

    Text Solution

    |

  10. IfA+B+C = 180^(@) then sumtan(A)/(2)tan(B)/(2)=

    Text Solution

    |

  11. In a triangle ABC if b = 2,B=30^(@) then the area of the circumcircle ...

    Text Solution

    |

  12. If sinx + sin^(2)x =1 then cos^(12)2x + 3cos^(10)x+3cos^(8)x + cos^(6)...

    Text Solution

    |

  13. If R denotes the set of all real numbers then the function f: RtoR def...

    Text Solution

    |

  14. The equation of the director circle of the hyperbola (x^(2))/(16)-(y^(...

    Text Solution

    |

  15. If 0lexlepi and 81^(sin^(2x))+81^(cos^(2x))=30 then x=

    Text Solution

    |

  16. If sin^(-1)(x)/(5)+cosec^(-1)(5)/(4)=(pi)/(2)then x=

    Text Solution

    |

  17. If cos^(-1)p+cos^(-1)q+cos^(-1)r=pi then p^(2)+q^(2)+r^(2)+2pqr=

    Text Solution

    |

  18. The smallest positive integer for which(1 + i)^(2n)=(1 -l)^(2n) is

    Text Solution

    |

  19. If (logx)/(a-b)=(logy)/(b-c)=(logz)/(c-a) then xyz=

    Text Solution

    |

  20. The last digit in 7^(300) is

    Text Solution

    |