Home
Class 11
MATHS
The tangent at any point P of a circle x...

The tangent at any point `P` of a circle `x^2 + y^2 = a^2` meets the tangent at a fixed point `A (a, 0)` in `T` and `T` is joined to `B`, the other end of the diameter through `A,` prove that the locus of the intersection of `AP` and `BT` is an ellipse whose eccentricity is `1/sqrt2`

Promotional Banner

Similar Questions

Explore conceptually related problems

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The locus of the intersection of AO and BT is a conic whosee eccentricity is

The tangents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The sum of focal distance of any point on the curce is

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The sum of focal distance of any point on the curce is

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. Which of the following does not change by changing the radius of the circle ?

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. Which of the following does not change by changing the radius of the circle ?

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot