If from a point `P ,` tangents `P Qa n dP R` are drawn to the ellipse `(x^2)/2+y^2=1` so that the equation of `Q R` is `x+3y=1,` then find the coordinates of `Pdot`

If from a point P , tangents PQ and PR are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-6x+8y-1=0 . The equation to the line joining the mid points of PA and PB is

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The coordinates of A and B are

If a point P is taken on xy=2 and then a normal is drawn from P on the ellipse (x^(2))/6+(y^(2))/3=1 which is perpendicular to x+y=8 , then P is

Tangents are drawn from (-2,1) to the hyperola 2x^(2)-3y^(2)=6 . Find their equations.

Tangents are drawn from (-2,1) to the hyperola 2x^(2)-3y^(2)=6 . Find their equations.

Tangents P Qa n dP R are drawn at the extremities of the chord of the ellipse (x^2)/(16)+(y^2)/9=1 , which get bisected at point P(1,1)dot Then find the point of intersection of the tangents.

Find the equations of the tangent drawn to the ellipse (x^(2))/(3) + y^(2) =1 from the point (2, -1 )

Tangents P Aa n dP B are drawn to x^2+y^2=a^2 from the point P(x_1, y_1)dot Then find the equation of the circumcircle of triangle P A Bdot

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of Pdot