Home
Class 12
MATHS
Consider an ellipse x^2/25+y^2/16=1. A c...

Consider an ellipse `x^2/25+y^2/16=1`. A circle passes through a focus and has its centre on `y= 0` and touches the ellipse at A and S is focus, then

A

`[|AS|]` is less than 7

B

`|AS|lt4`

C

`5lt|AS|lt6`

D

`|AS|gt4`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Using property and simplifying
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

Similar Questions

Explore conceptually related problems

A circle passes through (0,0) and (1,0) and touches the circle x^(2)+y^(2)=9 then the centre of circle is -

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

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)

Consider an ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 What is the eauation of parabola whose verted is at (0, 0) and focus is at (0, 2) ?

Consider an ellipse (x^(2))/25+(y^(2))/16=1 and ABCD be a quadrilateral circumscribing the ellipse. Let S be one of its focii, then /_ASB+/_CSD=(3pi)/(lamda) where lamda is_______

If a circle passes through (0,0),(4,0) and touches the circle x^(2)+y^(2)=36 then the centre of circle

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

Equation of a tangent to the ellipse x^2/36+y^2/25=1 , passing through the point where a directrix of the ellipse meets the + ve x-axis is

A parabola is drawn whose focus is one of the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse.Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

FIITJEE-TEST PAPERS-MATHEMATICS
  1. Consider a hyperbola (x^(2))/36-(y^(2))/25=1 A chord QPL meets in asym...

    Text Solution

    |

  2. If 4- horses participate in race. The number of ways in which they can...

    Text Solution

    |

  3. Consider an ellipse x^2/25+y^2/16=1. A circle passes through a focus a...

    Text Solution

    |

  4. Consider 18- objects (distinct) then the probability that we can take ...

    Text Solution

    |

  5. If f(x) is a polynomial such that (alpha+1)f(alpha)-alpha=0AA alpha ep...

    Text Solution

    |

  6. If A is 5xx4 matrix and B is 4xx5 matrx, then 2\AB-I(5)|+|BA-I(4)|)+1 ...

    Text Solution

    |

  7. Consider a straight line x/a + y/b =1 , such that it cuts the asymptot...

    Text Solution

    |

  8. If alpha+beta, gamma epsilon R^(+) such that alpha gamma =1/(beta) the...

    Text Solution

    |

  9. If a(1)=a, a(2)=b, a(n+2)=(a(n+1)+a(n))/2, nge 0 then lim(n to oo) a(n...

    Text Solution

    |

  10. Let z1, z2,z3 be complex numbers (not all real) such that |z1|=|z2|...

    Text Solution

    |

  11. A bag contans 2017 red balls and 2017 black balls. We remove two balls...

    Text Solution

    |

  12. If I(m) = int0^pi ln(1-2m cos x + m^2)dx, then I(1)=

    Text Solution

    |

  13. Consider a function f: [0, 1] -> R satisfying int0 ^1 (f(x)(x-f(x))dx ...

    Text Solution

    |

  14. Consider f as a twice differentiable function such that f(x)+f^('')(x)...

    Text Solution

    |

  15. Consider P,Q,R to be vertices with integral coordinates and (|PR|+|RQ|...

    Text Solution

    |

  16. Consider vectors veca,vecb,vecc,vecp=(vecb.vecc)veca-(vecc.veca)vecb,v...

    Text Solution

    |

  17. Consider an equation z^(197)=1(z is a complex number). If alpha, beta ...

    Text Solution

    |

  18. Let ABCD be a quadrilateral with /CBD=2/ADB, /ABD=2/CDB, AB=BC, then

    Text Solution

    |

  19. If f: (0, oo) ->(0, oo) for which there is a positive real number a ...

    Text Solution

    |

  20. A variables plane passes through the point (1,2,3) and meets the coord...

    Text Solution

    |