If the tangents drawn from a point p to the ellipse `4x^(2)+9y^(2)-24x+36y-72=0` are perpendicular,then locus of p is

The locus of a point such that the tangents drawn from it to the circle x^(2)+y^(2)-6x-8y=0 are perpendicular to each other is

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

A point P moves such that the tangents PT_(1) and PT_(2) from it to the hyperbola 4x^(2)-9y^(2)=36 are mutually perpendicular. Find the locus of P.

If the tangent from a point p to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from p to the circle x^(2)+y^(2)=3, then the locus of p is

If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 intersect perpendicularly at P. then the locus of P is a circle x^(2)+y^(2)=a^(2)+b^(2) the circle is called

The line through P , perpendicular to the chord of the tangents drawn from the point P to the parabola y^(2)=16x touches the parabola x^(2)=12y , then the locus of P is 2ax+3y+4a^(2)=0 then a is ________

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

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle