Home
Class 12
MATHS
If an ellipse x^2/a^2+y^2/b^2=1 passes t...

If an ellipse `x^2/a^2+y^2/b^2=1` passes through `(-4sqrt(3/5),3)` & its eccentricity is `1/4`, then the value of `a^2+b^2` is

A

`183/5`

B

`186/5`

C

`190/7`

D

`193/7`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) passes through the point (-3,1) and its eccentricity is sqrt(2/5) . Then length of latus rectum is 8/5sqrt(6) (2) 9/5sqrt(6) (3) 8/3sqrt(6) 8/5sqrt(3) (5) 9/5sqrt(3)

The ellipse x^2/a^2+y^2/b^2=1,(a gt b) passes through (2,3) and have eccentricity equal to 1/2 . Then find the equation of normal to the ellipse at (2,3) .

An ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through the point (-3,1) and its eccentricity is sqrt((2)/(5)) The equation of the ellipse is 3x^(2)+5y^(2)=32 (b) 3x^(2)+5y^(2)=485x^(2)+3y^(2)=32(d)5x^(2)+3y^(2)=48

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

If the normal at the end of latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (0,b) then e^(4)+e^(2) (where e is eccentricity) equals

If the normal at an end of a latus-rectum of an ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 passes through one extremity of the minor axis, show that the eccentricity of the ellipse is given by e = sqrt((sqrt5-1)/2)

If the normal at an end of a latus-rectum of an elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one extremity of the minor axis,show that the eccentricity of the ellipse is given by e^(4)+e^(-1)=0

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

    Text Solution

    |

  2. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

    Text Solution

    |

  3. If an ellipse x^2/a^2+y^2/b^2=1 passes through (-4sqrt(3/5),3) & its e...

    Text Solution

    |

  4. A(6,1) is the vertex of triangle ABC , BC : 2x+y-4=0 & C moves on x+3y...

    Text Solution

    |

  5. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

    Text Solution

    |

  6. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  7. e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum of roots is lnP then find the...

    Text Solution

    |

  8. In total of 16 cubes , 11 are red and 5 are blue , then number of arra...

    Text Solution

    |

  9. A rectangle is inscribed in a circle with diameter 2x+4=y and two vert...

    Text Solution

    |

  10. Let the direction ratio's of two lines are roots of the equation l+m-n...

    Text Solution

    |

  11. If the coefficient of x^10 in the expansion of (x^(1/2)/5^(1/4) +5^(1/...

    Text Solution

    |

  12. Which of the follwoing is logically equivalent to ~(p wedge q) vv q

    Text Solution

    |

  13. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

    Text Solution

    |

  14. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

    Text Solution

    |

  15. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

    Text Solution

    |

  16. Which of the following is a tautology ?

    Text Solution

    |

  17. Let A be a 2 xx 2 matrix , whose entries are taken from the set {0,1,2...

    Text Solution

    |

  18. alpha = sin 36^@ is root of which of the following equation

    Text Solution

    |

  19. Mean and Variance of 4 , 5 , 6 , 6 , 7 , 8 , x , y is 6 and 9/4 then f...

    Text Solution

    |

  20. AB =I , detA=1/8 then find the value of det(adj(B adj 2A)) when A is 3...

    Text Solution

    |