From any point P on the line x = 2y perpendicular is drawn on y = x. Let foot of perpendicular is Q. Find the locus of mid point of PQ.

The tangent at any point P on y^2 = 4x meets x-axis at Q, then locus of mid point of PQ will be

The tangent at any point P on y^(2)=4x meets x-axis at Q, then locus of mid point of PQ will be

Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locus of mid point of PQ is

P and Q are two variable points on the axes of x and y respectively such that |OP| + |OQ|=a, then the locus of foot of perpendicular from origin on PQ is

Q is any point on the circle x^(2) +y^(2) = 9. QN is perpendicular from Q to the x-axis. Locus of the point of trisection of QN is

Q is any point on the circle x^(2) +y^(2) = 9. QN is perpendicular from Q to the x-axis. Locus of the point of trisection of QN is

From the point P(3,-1,11) a perpendicular is drawn on the line L given by the equation x/2=(y-2)/3=(z-3)/4 . Let Q be the foot of the perpendicular What is the length of the line segment PQ?

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is