Consider hyperbola xy = 22 to find the equation of tangent at point (2, 11) .

Find the equation of the tangent to the curve y=3x^2 at (1,1)

If x= 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the equation of the corresponding pair of tangents is :

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

The angle between a pair of tangents from a point P to the circle x^2 + y^2 = 25 is pi/3 . Find the equation of the locus of the point P.

Find the equation of the line passing through the point (-1,1) and (2,4).

Find the equations of the normal at a point on the curve x^2=4y , which passes through the point (1,2). Also find the equation of the corresponding tangent.

The x-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point (1,1) is

Normals drawn to the hyperbola xy=2 at the point P(t_1) meets the hyperbola again at Q(t_2) , then minimum distance between the point P and Q is