Home
Class 12
MATHS
The tangent at the point (alpha, beta) t...

The tangent at the point `(alpha, beta)` to the circle `x^2 + y^2 = r^2` cuts the axes of coordinates in `A and B`. Prove that the area of the triangle `OAB` is `a/2 r^4/|alphabeta|, O` being the origin.

Promotional Banner

Similar Questions

Explore conceptually related problems

The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B , then the area of the triangle OAB is

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

If the tangent to the circle x^2+y^2=r^2 at the point (a,b) meets the co-ordinate axes at the points A and B, and O is the origin, then the area of the triangle OAB is

Square of the length of the tangent drawn from the point (alpha,beta) to the circle ax^2 +ay^2=r^2 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

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

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