Home
Class 12
MATHS
A tangent is drawn to the ellipse (x^(2...

A tangent is drawn to the ellipse ` (x^(2))/( 27 ) +y^(2) =1` at the point `(3sqrt3 cos theta, sin theta) "where" 0 lt theta lt (pi )/(2) ` then the sum of the intercepts of the tangent with the coordinate axes is least when `theta =`

A

`(pi )/( 6) `

B

` ( pi )/(3) `

C

` ( pi )/(8) `

D

` ( pi )/(4) `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

If cos theta - sin theta=1/5 , where 0 lt theta lt pi/4 , then:

The locus of the point ( a cos theta, b sin theta ) where 0 le theta lt 2 pi is

If cos theta- sin theta=(1)/(5), theta lt theta lt (pi)/(2) then match the following:

The locus of the point (a sec theta, b tan theta ) where 0 le theta lt 2pi is

The locus of the point ( a cos ^3 theta, b sin ^ 3 theta ) where 0 le theta lt 2pi is

If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

If tan(pi cos theta) =cot(pi sin theta), 0 lt theta lt(3pi)/4 , then sin(theta+pi/4) =

If tan(pi cos theta)=cot(pi sin theta), 0 lt theta lt (3pi)/(4) then sin(theta+(pi)/(4))=

Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi .

A tangent is drawn at (3sqrt(3) cos theta, sin theta) (0 lt theta lt pi/2) to the ellipse x^(2)/27+y^(2)/1=1 . The value of theta for which the sum of the intercepts on the coordinate axes made by this tangent attains the minimum, is

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. A conic has latus rectum length 1, focus at (2,3) and the correspondi...

    Text Solution

    |

  2. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  3. A tangent is drawn to the ellipse (x^(2))/( 27 ) +y^(2) =1 at the poi...

    Text Solution

    |

  4. The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a...

    Text Solution

    |

  5. A, A^(1) are the vertices , S, S^(1) are the foci of an ellipse . T...

    Text Solution

    |

  6. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

    Text Solution

    |

  7. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

    Text Solution

    |

  8. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

    Text Solution

    |

  9. The major axis of an ellipse is y =x and one vertex is at origin , the...

    Text Solution

    |

  10. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  11. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  12. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  13. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  14. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  15. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |

  16. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

    Text Solution

    |

  17. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  18. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |

  19. The locus of the mid points of parallel chords of an ellipse is a strr...

    Text Solution

    |

  20. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

    Text Solution

    |