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 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 axis.Length PQ is equal to

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

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

A line lx+my+n=0 meets the circle x^(2)+y^(2)=a^(2) at points P and Q. If the tangents drawn at the points P and Q meet at R, then find the coordinates of R.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the circle C_(1):x^(2)+y^(2)-4=0. These tangent meets the circle 'C_(1) 'again in A and B. Locus of point of intersection of tangents drawn to C_(1) at A and B