Find the angle between the pair of tangents from the point (1,2) to the ellipse `3x^2+2y^2=5.`

Find the angle between the two tangents from the origin to the circle (x-7)^2+(y+1)^2=25

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

Find the equation of the two tangents from the point (1,2) to the hyperbola 2x^(2)-3y^2=6

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

find the area of the quadrilateral formed by a pair of tangents from the point (4,5) to the circle x^2 + y^2 -4x -2y-11 = 0 and pair of its radii.

Find the equation of the tangents from the point (2,-3) to the parabola y^(2)=4x

The angle between a pair of tangents drawn from a point P to the hyperbola y^2 = 4ax is 45^@ . Show that the locus of the point P is hyperbola.

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

If S_(1)=alpha^(2)+beta^(2)-a^(2) , then angle between the tangents from (alpha, beta) to the circle x^(2)+y^(2)=a^(2) , is