Home
Class 12
MATHS
The muinimum area of the triangle formed...

The muinimum area of the triangle formed by the tangent to `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and the coordinate axes is

A

ab

B

`(a^(2)+b^(2))/(2)`

C

`(a+b)^(2)/(2)`

D

`(a^(2)+ab+b^(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

The minimum area of the triangle formed by the tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the coordinate axes is (a)ab sq.units (b) (a^(2)+b^(2))/(2) squnits ( c )((a+b)^(2))/(2) squnits (d) (a^(2)+ab+b^(2))/(3) sq.units

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and coordinate axes is ab sq.units (b) (a^(2)+b^(2))/(2) sq. units ((a+b)^(2))/(2) sq.units (d) (a^(2)+ab+b^(2))/(3) sq.units

The minimum area of triangle formed by tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the coordinateaxes is

The minimum area of the triangle formed by the tangent to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the co-ordinate axes is

The area of the triangle formed by the tangent to the curve y=(8)/(4+x^(2)) at x=2 and the co-ordinate axes is

The minimum area of triangle formed by the tangent to the x^2/a^2+y^2/b^2=1 & coordinates axes is

The minimum area of the triangle formed by any tangent to the ellipse x^2/16+y^2/81=1 and the coordinate axes is :

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  5. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |