Home
Class 12
MATHS
If a hyperbola passes through the focus ...

If a hyperbola passes through the focus of the ellipse `x^(2)/25+y^(2)/16=1` and its transverse and conjugate gate axis coincides with the major and minor axis of the ellipse, and product of their eccentricities is 1, then

A

`(x^2)/(9) - (y^2)/(25) = 1`

B

`(x^2)/(9) - (y^2)/(16) = 1`

C

`x^2 - y^2 = 9`

D

`(x^2)/(9) - (y^2)/(4) = 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|60 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

If a hyperbola passes through foci of the ellipse x^2/5^2 + y^2/3^2 = 1 and its transverse and conjugate axes coincide with the major and minor axes of the ellipse and the product of their eccentricities is 1, then the product of length of semi transverse and conjugate axes of hyperbola is...

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

A hyperbola passes through a focus of the ellipse (x^(2))/(169)+(y^(2))/(25)=1. Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse.The product of eccentricities is 1. Then the equation of the hyperbola is

Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Foci of the ellipse are (A) (+- 4, 0) (B) (+-3, 0) (C) (+-5, 0) (D) none of these

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Equation of ellipse is : (A) x^2/16 + y^2/9 =1 (B) x^2/25 + y^2/9 = 1 (C) x^2/25 + y^2/16 = 1 (D) none of these

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. If l and l\' be the length of semi latera recta of ellipse and hyperbola, then ll\'= (A) 144/15 (B) 256/15 (C) 225/12 (D) none of these

An ellipse passes through the foci of the hyperbola,9x^(2)-4y^(2)=36 and its major and mininor axes lie along the transverse and conjugate axes of the hyperbola respectively.If the product of eccentricities of the two conics is (1)/(2), then which of the following points does not lie on the ellipse?

The equation of the parabola whose vertex is at the centre of the ellipse x^2/25+y^2/16 = 1 and the focus coincide with the focus of the ellipse on the positive side of the major axis of the ellipse is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-(SECTION - A)
  1. If A is 3xx3 matrix and absA=4 . Operation R2 to 2R2 + 5R3 is applied ...

    Text Solution

    |

  2. int(e^(3loge(2x))+5e^(2loge(2x)))/(e^(4loge(x))+5e^(3loge(x))-7e^(2log...

    Text Solution

    |

  3. The shortest distance between the line x - y = 1 and the curve x^2 = 2...

    Text Solution

    |

  4. If z^2+alphaz+beta has one root 1-2i , then find the value of alpha-be...

    Text Solution

    |

  5. If a hyperbola passes through the focus of the ellipse x^(2)/25+y^(2)/...

    Text Solution

    |

  6. If cos x+cos y-cos(x+y)=(3)/(2), then

    Text Solution

    |

  7. A plane passes through the points A(1,2,3), B(2,3,1) and C(2,4,2). If ...

    Text Solution

    |

  8. In a group of 400 people, 160 are smokers and non-vegetarian, 100 are ...

    Text Solution

    |

  9. "cosec"[2 cot^(-1)(5) + cos^(-1)(4/5)] is equal to

    Text Solution

    |

  10. If the curve x^2 + 2y^2 = 2 intersects the line x + y = 1 at two point...

    Text Solution

    |

  11. The contrapositive of the statement "If you will work, you will earn m...

    Text Solution

    |

  12. Let f(x) = 5^x/(5^x +5) Then find the value of f(1/20) + f(2/20) + f...

    Text Solution

    |

  13. If for the matrix , A = [(1,-alpha),(alpha, beta)], A A^T = I2, then t...

    Text Solution

    |

  14. Minimum value at a^(ax) + a^(1-a x); a gt 0 and x in R, is

    Text Solution

    |

  15. I(n)=int(pi/4)^(pi/2)(cot^(n)x)dx , then :

    Text Solution

    |

  16. lim(Nrarroo) [1/n+n/(n+1)^2 +n/(n+2)^2 + . . . + n/(2n-1)^2]

    Text Solution

    |

  17. A number is selected from 4 digit numbers of the form 5n+2 where n be...

    Text Solution

    |

  18. If alpha and beta be root of x^2-6x-2=0 with alpha gt beta if an=alpha...

    Text Solution

    |

  19. Set A contain 3 elements , set B contain 5 elements , number of one-on...

    Text Solution

    |

  20. The following system of linear equations 2x + 3y + 2z = 9 3x + 2y ...

    Text Solution

    |