Tangents drawn from `P(6,8)` to a circle `x^(2)+y^(2)=r^(2)` forms a triangle of maximum area with chord of contact,then `r=`

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 form a triangle of constant area with the coordinate axes.

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle

Tangents are drawn from external poinl P(6,8) to the circle x^(2)+y^(2)=r^(2) find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25(B) 15(C) 5(D) none

Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle x^(2) + y^(2) = 8 and the parabola y^(2) =16x , chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

Tangent is drawn at any point (p,q) on the parabola y^(2)=4ax. Tangents are drawn from any point on this tangant to the circle x^(2)+y^(2)=a^(2), such that the chords of contact pass through a fixed point (r,s). Then p,q,r ands through a fixed point (r,s). Then p,q,rrq^(2)=4ps^(2)( C) rq^(2)=-4ps^(2)(D)r^(2)q=-4p^(2)s

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.

Find the area of the triangle formed by the tangents drawn from the point (4,6) to the circle x^(2)+y^(2)=25 and their chord of contact. Answer: (405sqrt(3))/(52) sq.units

Tangents are drawn from points on the line x+2y=8 to the circle x^(2)+y^(2)=16. If locus of mid-point of chord of contacts of the tangents is a circles S, then radius of circle S will be