Home
Class 12
MATHS
The area of the traingle formed by the c...

The area of the traingle formed by the coordinate axes and a tangent to the curve `xy=a^2` at the point `(x_1,y_1)` is

A

`(a^2 x_1)/(y_1)`

B

`(a^2 y_1)/(x_1)`

C

`2a^2`

D

`4a^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The area bounded by the coordinate axes and normal to the curve y=log_(e)x at the point P( 1 , 0), is

Find the value of |a| for which the area of triangle included between the coordinate axes and any tangent to the curve x y^a = lamda ^(a+1) is constant (where lamda is constant.)

The area of the triangle formed by the tangent to the curve y=(8)/(4+x^(2)) at x=2 on it and the 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 slope of the tangent line to the curve x+y=xy at the point (2,2) is

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

The area of the triangle formed by the tangent to the curve xy=a^(2) at any point on the curve with the coordinate axis is

Let y=f(x) be a curve passing through (1,1) such that the triangle formed by the coordinate axes and the tangent at any point of the curve lies in the first quadrant and has area 2. Form the differential equation and determine all such possible curves.