Mutually perpendicular tangents `T Aa n dT B` are drawn to `y^2=4a x` . Then find the minimum length of `A Bdot`

If eight distinct points can be found on the curve |x|+|y|=1 such that from eachpoint two mutually perpendicular tangents can be drawn to the circle x^(2)+y^(2)=a^(2), then find the tange of a.

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

Two mutually perpendicular chords OA and OB are drawn through the vertex 'O' of a parabola y^(2)=4ax . Then find the locus of the circumcentre of triangle OAB.

The number of points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=3 from which mutually perpendicular tangents can be drawn to the circle x^(2)+y^(2)=a^(2) is/are 0 (b) 2 (c) 3 (d) 4

The focus of a parabola is (0, 0) and vertex (1, 1). If two mutually perpendicular tangents can be drawn to a parabola from the circle (x-2)^(2)+(y-3)^(2)=r^(2) ,then

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is

The sum of length of perpendicular drawn from focii to any real tangent to the hyperbola x^2/16-y^2/9=1 is always greater than a .hence Find the minimum value of a

A tangent PT is drawn to the circle x^(2)+y^(2)=4 at the point P(sqrt(3),1). A straight line L, perpendicular to PT is a tangent to the circle (x-3)^(2)+y^(2)=1 then find a common tangent of the two circles