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

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

ad sq units

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 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

Find the area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.

If tangent and normal to the curve y=2sinx+sin2x are drawn at p(x=(pi)/(3)) , then area of the quadrilaterial formed by the tangent, the normal at p and the cordinate axes is

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

Find the equation of the tangent to the curve x^2/a^2-y^2/b^2=1 at the point (x_1,y_1)

Find the equation of the tangent to the curve (X^2)/(a^2) + (y^2)/(b^2) = 1 at (x_0.y_0)

The triangle formed by the normal to the curve f(x)=x^2-ax+2a at the point (2,4) and the coordinate axes lies in second quadrant, if its area is 2 sq units, then a can be

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |