A plane passes through a fixed point (a,b,c). The locus of the foot of the perpendicular to it from the origin is a sphere of radius

A plane passes through a fixed point (a ,b ,c)dot The locus of the foot of the perpendicular to it from the origin is a sphere of radius a. 1/2sqrt(a^2+b^2+c^2) b. sqrt(a^2+b^2+c^2) c. a^2+b^2+c^2 d. 1/2(a^2+b^2+c^2)

A plane passes through a fixed point (a ,b ,c)dot Show that the locus of the foot of the perpendicular to it from the origin is the sphere x^2+y^2+z^2-a x-b y-c z=0.

A plane passes through a fixed point (a ,b ,c)dot Show that the locus of the foot of the perpendicular to it from the origin is the sphere x^2+y^2+z^2-a x-b y-c z=0.

A straight line l passes through a fixed point (6, 8). If locus of the foot of perpendicular on line l from origin is a circle, then radius of this circle is … .

A given line L_1 cut x and y-axes at P and Q respectively and has intercepts a and b/2 on x and y-axes respectively. Let another line L_2 perpendicular to L_1 cut x and y-axes at R and S respectively. Let T be the point of intersection of PS and QR . A straight line passes through the centre of locus of T . Then locus of the foot of perpendicular to it from origin is : (A) a straight line (B) a circle (C) a parabola (D) none of these

A variable line intersects the co-ordinate axes at A and B and passes through a fixed point (a, b) .then the locus of the vertex C of the rectangle OACB where O is the origin is

Find the locus of the foot of the perpendicular from the origin to the line which always passes through a fixed point(h, k).

A plane passes through a fixed point (a, b, c) and direction ratios of the normal to the plane are (2, 3 , 4) find the equation of the plane

the locus of the foot of perpendicular drawn from the centre of the ellipse x^2+3y^2=6 on any point:

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0.