Tangents are drawn to the circle `x^2+y^2=50` from a point "P lying on the x-axis. These tangents meet the y-axis at points `'P_1,' and 'P_2`. Possible co-ordinates of 'P' so that area of triangle `PP_1P_2` is minimum is/are -

Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point P (3, 5) . Find the area of the triangle formend by these tangents and the chord of contact of P.

Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P If the product of the slopes of the tangents is 2, then the locus of P is

Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P. If the product of the slopes of the tangents is 2, then the locus of P is

Consider the circle x^(2) + y^(2) = 9 . Let P by any point lying on the positive x-axis. Tangents are drawn from this point to the given circle, meeting the Y-axis at P_(1) and P_(2) respectively. Then find the coordinates of point 'P' so that the area of the DeltaPP_(1)P_(2) is minimum.

Tangents drawn to circle (x-1)^2 +(y -1)^2= 5 at point P meets the line 2x +y+ 6= 0 at Q on the x axis. Length PQ is equal to

Tangents drawn to circle (x-1)^(2)+(y-1)^(2)=5 at point P meets the line 2x+y+6=0 at Q on the axis.Length PQ is equal to

Tangents are drawn to x^(2)+y^(2)=16 from the point P(0,h) These tangents meet the x- axis at A and B . If the area of triangle P AB is minimum , then

If the tangent to the curve y=2x^2-x+1 at a point P is parallel to y=3x+4, the co-ordinates of P are

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is