From a point, P perpendicular PM and PN are drawn to x and y axes, respectively. If MN passes through fixed point (a,b), then locus of P is

TP and TQ are tangents to the parabola y^(2)=4ax at P and Q, respectively.If the chord PQ passes through the fixed point (-a,b), then find the locus of T.

A circle passes through a fixed point A and cuts two perpendicular straight lines through A in B and C. If the straight line BC passes through a fixed-point (x_(1), y_(1)) , the locus of the centre of the circle, is

TP&TQ are tangents to the parabola,y^(2)=4ax at P and Q. If the chord passes through the point (-a,b) then the locus of T is

From a variable point on the tangent at the vertex of a parabola y^(2)=4ax, a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (4,-3,-7)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (3,4,2)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (3,-5,1)

Let A,B,C be the feet of perpendicular drawn from a point P to x,y and z-axes respectively. Find the coordinates of A,B,C if coordinates of P are : (4,-2,-6)

Let P be a variable point.From P tangents PQ and PR are drawn to the circle x^(2)+y^(2)=b^(2) if QR always touch the parabola y^(2)=4ax then locus of P is

The locus of the foot of the perpendicular drawn from origin to a variable line passing through fixed point (2,3) is a circle whose diameter is