Home
Class 12
MATHS
Consider the ellipse (x^2)/(f(k^2+2k+5))...

Consider the ellipse `(x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1.` If `f(x)` is a positive decr4easing function, then the set of values of `k` for which the major axis is the x-axis is `(-3,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,-3)uu(2,oo)` the set of values of `k` for which the major axis is the y-axis is `(-3,-oo,)`

A

`k in(-2,3)`

B

`k in(-3,2)`

C

`k in (-infty,-3)cup(2,infty)`

D

`k in(-infty,-2)cup(3,infty)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Example|5 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

If f(x)= {(1,-,kx, x,le3),(2x,+,3,x,>3):} is a continuous function, then the value of k is

The value of k for which one of the roots a x^2-x+3k=0 is double of one of the roots a x^2-x+k=0 is:

What is the cosine of the angle which the vector sqrt2 hat i+ hat j +hat k makes with the Y-axis ?

If (2,0) in a solutiosn at the linear equations 2x+3y=k that value of k is

The range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-oo,oo) is

If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) =1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

    Text Solution

    |

  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  3. Find the 17^(th) term in the following sequence whose n^(th) term is a...

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. Find the 9^(th) term in the following sequence whose n^(th) term is an...

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

    Text Solution

    |

  9. Is 309 a term of the AP 11, 17, 23….?

    Text Solution

    |

  10. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

    Text Solution

    |

  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  16. Find the equation of an ellipse whose axes lie along the coordinate ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16s...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

    Text Solution

    |

  20. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |