The slopes of the tangents drawn from `(4,1)` to the ellipse `x^(2)+2y^(2)=6` are

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

If the length of the tangent drawn from (f,g) to the circle x^(2)+y^(2)=6 be twice the length of the tangent drawn from the same point to the circle x^(2)+y^(2)+3(x+y)=0 then show that g^(2)+f^(2)+4g+4f+2=0

Find the equations of the tangents drawn from the point (2,3) to the ellipse 9x^(2)+16y^(2)=144

The slopes of the two tangents drawn from ((3)/(2),5) to y^(2)=6x are

If the tangents drawn from P to the ellipse (x^(2))/(25)+(y^(2))/(15)=1 are such that product of the slopes is equal to k then, find k such tha the locus of P is ellipse.

The sum of the slopes of the tangents to the ellipse x^(2)/9+y^(2)/4=1 drawn from the points (6,-2) is

The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 drawn from the point (6,-2) is

The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 drawn from the point (6,-2) is 1) 0 2) (3)/(4) 3) (-6)/(7) 4) (-8)/(9)

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is

The product of the slopes of the common tangents of the ellipse x^(2)+4y^(2)=16 and the parabola y^(2)-4x-4=0 is