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 QR is x+3y=1, then find the coordinates of P.

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

Find an equation of the tangent to the ellipse x^2/81+y^2/49=1 at the point P whose eccentric angle is pi//6 . Also find the coordinates of P .

From a variable point P a pair of tangent are drawn to the ellipse x^(2)+4y^(2)=4, the points of contact being Q and R. Let the sum of the ordinate of the points Q and R be unity.If the locus of the point P has the equation x^(2)+y^(2)=ky then find k

Equation to the pair of tangents drawn from (2,-1) to the ellipse x^(2)+3y^(2)=3 is

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

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is

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.

P is a variable point on the line L=0. Tangents are drawn to the circle x^(2)+y^(2)=4 from P to touch it at Q and R. The parallelogran PQSR is completed. If p-=(3,4), then the coordinates of S are