Home
Class 12
MATHS
For 0ltthetaltpi/2, four tangents are dr...

For `0ltthetaltpi/2`, four tangents are drawn at the four points`(+-3costheta,+-2sintheta)` to the ellipse `x^2/9+y^2/4=1`. If `A(theta)` denotes the area of the quadrilateral formed by these four tangents, the minimum value of `A(theta)` is

A

21

B

24

C

27

D

30

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-II(MATHEMATICS)|10 Videos

  • SOLVED PAPER 2019

    KVPY PREVIOUS YEAR|Exercise EXAMPLE|26 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 at the end of latus rectum. Find the area of quadrilateral so formed

The area of the quadrilateral formed by the tangents at the end points of latus rectum of the ellipse 5x^(2) +9y^(2)=45 is

A tangent is drawn at the point (3sqrt(3)cos theta,sin theta) for 0

If a quadrilateral is formed by four tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then the area of the square is equal to

Tangents are drawn from the point P(3,4) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 touching the ellipse at points A and B.

Two tangents are drawn from the point ((25)/(3),0) to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 if area of the triangle formed by the tangents with the chord of contact is equal to A then find the value of A.

KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
  1. Suppose A=[{:(a,b),(c,d):}] is real matrix with nonzero entries, ad-b...

    Text Solution

    |

  2. On any given are of positive length on the unit circle |z|=1 in the co...

    Text Solution

    |

  3. For 0ltthetaltpi/2, four tangents are drawn at the four points(+-3cost...

    Text Solution

    |

  4. Let S ={x in R: cos(x)+cos(sqrt(2)x)lt2}. Then

    Text Solution

    |

  5. On a rectangular hyperbola x^(2)-y^(2)=a^(2),a gt 0, three points A,B,...

    Text Solution

    |

  6. The number of real solution x of the equation cos^(2)(x sin (2x))+(1...

    Text Solution

    |

  7. Let (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , a gt b, be an ellipse with foc...

    Text Solution

    |

  8. Let a=cos 1^(@) and b= sin 1^(@). We say that a real number is algebra...

    Text Solution

    |

  9. A rectangle with its sides parallel to the x-axis and y-axis is inscib...

    Text Solution

    |

  10. Let f(x)=x|sin x|,x in R. Then

    Text Solution

    |

  11. Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| ...

    Text Solution

    |

  12. The value of the integral int(0)^(pi)(1-|sin 8x|)dx is

    Text Solution

    |

  13. Let in x denote the logarithm of x with respect to the base e. Let S s...

    Text Solution

    |

  14. Let S be the set of real numbers p such that there is no nonzero conti...

    Text Solution

    |

  15. The porbability of men getting a certain disease is (1)/(2) and that o...

    Text Solution

    |

  16. The number of function f:[0,1] to [0,1]" satisfying " |f(x)-f(x)|=|x-...

    Text Solution

    |

  17. Suppose A is a 3xx3 matrix consisting of integer entries that are chos...

    Text Solution

    |

  18. Let x^(2)=4ky,k gt 0 be a parabola with vertex A. Let BC be its latus ...

    Text Solution

    |

  19. Let f:[0'1] to [-1,1] and g:[-1,1] to [0,2] be two functions such that...

    Text Solution

    |

  20. Let R be a rectangle , C be a circle, and T be a triangle in the plane...

    Text Solution

    |