P(2,-4) is a point on `y^2=8x`. Tangent and normal at P cuts directrix at A and B respectively. If ABPQ is a square then find the sum of coordinates of Q.

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2,-5) is the mid-point of PQ then find the coordinates of P and Q.

A line intersects the y-axis and x-axis at the points P and Q respectively.If (2,5) is the mid- point of PQ ,then find the coordinates of P and Q.

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.

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.

A tangent and a normal are drawn at the point P(2,-4) on the parabola y^(2)=8x , which meet the directrix of the parabola at the points A and B respectively. If Q (a,b) is a point such that AQBP is a square , then 2a+b is equal to :

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, - 5) is the mid-point of PQ, then the coordinates of P and Q are respectively

A line intersects the Y- axis and X-axis at the points P and Q, respectively. If (2,-5) is the mid- point of PQ, then the coordinates of P and Q are, respectively.

If the tangent at (1,1) on y^(2)=x(2-x)^(2) meets the curve again at P, then find coordinates of P.