P is a point on the parabola `y^2=4x` and Q is IS a point on the line `2x +y+4=0`. If the line `x-y + 1= 0` is the perpendicular bisector of PQ, then the co-ordinates of P can be:

P is a point on the circle x^(2)+y^(2)=9Q is a point on the line 7x+y+3=0. The perpendicular bisector of PQ is x-y+1=0 Then the coordinates of P are:

If P is point on the parabola y ^(2) =8x and A is the point (1,0), then the locus of the mid point of the line segment AP is

On the parabola y^(2)=64x , find the point nearest to the straight line 4x + 3y - 14 = 0.

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Normal to the parabola y^(2)=8x at the point P(2,4) meets the parabola again at the point Q . If C is the centre of the circle described on PQ as diameter then the coordinates of the image of point C in the line y=x are

If P is a point on the parabola y = x^2+ 4 which is closest to the straight line y = 4x – 1, then the co-ordinates of P are :

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x is:

In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4) and ( 4,-2) respectively. If the equation of the perpendicular bisector of PR is 2x - y+2=0 , then the centre of the circumcircle of the Delta PQR is :