From the point `P(a ,b ,c),` let perpendicualars `P La n dP M` be drawn to `Y O Za n dZ O X` planes, respectively. Then the equation of the plane `O L M` is a. `x/a+y/b+z/c=0` b. `x/a+y/b-z/c=0` c. `x/a-y/b-z/c=0` d. `x/a-y/b+z/c=0`

P is a point (a,b,c). Let A,B,C be images of pin y-z,z-x and x-y planes respectively,then the equation of the plane ABC is

The x -y plane is rotated about its line of intersection with the y-z plane by 45^(0) ,then the equation of the new plane is/are a.z+x=0 b.z-y=0 c.x+y+z=0 d.z-x=0

Find the reflection of the plane ax+by+cz+d=0 in the plane a\'x+b\'y+c\'z+d\'=0

For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. z=0 d. x=y=z=0

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0 and x+y=z+4=0 is/are a.y=0 b.x=0 c.x+y=0 d.x+z=0

In fig. 28.7 if the coordinates of point P a r e (a , b , c) then Write the coordinates of points A, B, C, D, E and F. Write the coordinates of the feet of the perpendiculars from the point P to the coordinate axes. Write the coordinates of the feet of the perpendicular from the point P on the coordinate planes X Y , Y Z a n d Z Xdot Find the perpendicular distances of point P from X Y , Y Z a n d Z X- planes. Find the perpendicular distances of the point P fro the coordinate axes. Find the coordinates of the reflection of P are (a , b , c) . Therefore O A=a , O B=b n d O C=cdot

Show that |a b c a+2x b+2y c+2z x y z|=0

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to a.x y z b. 0 c. 1 d. none of these