Home
Class 12
MATHS
The eccentricity of the hyperbola(x^(2))...

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

A

`(3)/(4)`

B

`(3)/(5)`

C

`(sqrt(41))/(4)`

D

`(sqrt(41))/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (5)/(4) and 2x+3y-6=0 is a focal chord of the hyperbola, then the length of transverse axis is equal to _________

If the pair of lines b^(2) x^(2)-a^(2) y^(2)=0 are inclined at an angle theta then the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

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

The eccentricity of the hyperbola 3 x^(2)-4 y^(2)=-12 is

If e and e' are the eccentricities of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) =1 and (y^(2))/(b^(2))-(x^(2))/(a^(2))=1 , then the point ((1)/(e),(1)/(e')) lies on the circle:

The equation of the director circle of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1 is given by

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

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

The eccentricity of the hyperbola 4 x^(2)-9 y^(2)=2 a x+b^(2) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2005-MATHEMATICS
  1. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

    Text Solution

    |

  2. The sum of the focal distances of any point on the conic (x^(2))/(25)+...

    Text Solution

    |

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

    Text Solution

    |

  4. The solutions of the equation |(x,2,-1),(2,5,x),(-1,2,x)|=0 are

    Text Solution

    |

  5. If A=[(3,5),(2,0)] and B = [(1,17),(0,-10)] then |AB| is equal to

    Text Solution

    |

  6. The inverse of the matrix[underset(3)(5)     underset(1)(-2)]is….

    Text Solution

    |

  7. The projection of the vector 2overset(^)(i)+overset(^)(j)-3overset(^)(...

    Text Solution

    |

  8. A unit vector perpendicular to the plane containing the vectorsoverset...

    Text Solution

    |

  9. If 12 cot^(2)theta - 31 cosec theta+32 = 0 then the value of Sin theta...

    Text Solution

    |

  10. The circum-radius of the triangle whose sides are 13, 12 and 5 is...

    Text Solution

    |

  11. If tan^(-1) x + tan^(-1) y =(pi)/(4) then...

    Text Solution

    |

  12. The general solution of sin x - cos x= sqrt2, for any integer 'n' is

    Text Solution

    |

  13. The amplitude of (1+sqrt(3i))/(sqrt(3)+i) is

    Text Solution

    |

  14. The sum to infinity of the progression9-3+1 -(1)/(3) + .... is

    Text Solution

    |

  15. If "C(12) = "^(n)C(6)then (n)(2)^C=

    Text Solution

    |

  16. The middle term in the expansion of((x-(1))/(x))^(18) is...

    Text Solution

    |

  17. If alpha,beta,gamma are the roots of the equation2x^(3) -3x^(2) +6x + ...

    Text Solution

    |

  18. The digit in the units place in the number 7^(289) is...

    Text Solution

    |

  19. If a, b and care mutually perpendicular unit vectors, then |a+b+c|is e...

    Text Solution

    |

  20. The identity element in the group M={((x,x),(x,x))|x in R, x ne 0|} w...

    Text Solution

    |