Home
Class 12
MATHS
The minimum area of triangle formed by t...

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

A

ab 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

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos

  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|27 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

Knowledge Check

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

    A
    ab
    B
    `(a^(2)+ b^(2))/2`
    C
    `(a^(2) + b^(2))/2`
    D
    `(a^(2) + ab + b^(2))/3`

  • The minimum area of triangle formed by any tangent to the ellipse x^2/a^2 + y^2/b^2 =1 with the coordinate axes, is

    A
    `a^2+b^2`
    B
    `(a+b)^2/2`
    C
    ab
    D
    `(a-b)^2/2`

  • Minimum area of the triangle formed by any tangent to the ellipse x^2/a^2 + y^2/b^2 =1 with the coordinate axes is

    A
    `(a^2 + b^2)/2`
    B
    `((a + b)^2)/2`
    C
    `ab`
    D
    `((a-b)^2)/2`

    • Similar Questions

    Explore conceptually related problems

    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

    The area of the triangle formed by a tangent to the ellipse x^2/(25)+y^2/9=1 and the co-ordinate axes is always greater than or equal to

    The area of a triangle formed by a tangent to the curve 2xy =a^(2) and the coordinate axes, is

    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

    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 :

    Home
    Profile