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`

From a point P perpendicular tangents PQ and PR are drawn to ellipse x^(2)+4y^(2) =4 , then locus of circumcentre of triangle PQR is

If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then find the coordinates of Pdot

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

The length of the sides of the square which can be made by four perpendicular tangents P Qa n dP R are drawn to the ellipse (x^2)/4+(y^2)/9=1 . Then the angle subtended by Q R at the origin is tan^(-1)(sqrt(6))/(65) (b) tan^(-1)(4sqrt(6))/(65) tan^(-1)(8sqrt(6))/(65) (d) tan^(-1)(48sqrt(6))/(455)

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 T(1,1)dot Then find the point of intersection of the tangents.

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 T(1,1)dot Then find the point of intersection of the tangents.

From the point P(sqrt(2),sqrt(6)) , tangents P Aa n dP B are drawn to the circle x^2+y^2=4 Statement 1 :The area of quadrilateral O A P B(O being the origin) is 4. Statement 2 : The area of square is a^2, where a is the length of side.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

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

Statement 1 : Tangents are drawn to the ellipse (x^2)/4+(y^2)/2=1 at the points where it is intersected by the line 2x+3y=1 . The point of intersection of these tangents is (8, 6). Statement 2 : The equation of the chord of contact to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 from an external point is given by (x x_1)/(a^2)+(y y_1)/(b^2)-1=0