Home
Class 11
MATHS
The minimum area of the triangle formed ...

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 :

A

12

B

18

C

26

D

36

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If the minimum area of the triangle formed by a tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(4a^(2))=1 and the co-ordinate axis is kab, then k is equal to ____________.

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