What is the nature of the intersection of the set of planes `x+a y+(b+c)z+d=0,x+b y+(a+a)z+d=0a n dx+c y+(a+b)z+d=0?` a. they meet at a point b. the form a triangular prism c. the pass through a line d. they are at equal distance from the origin

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

The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a point (b) have a line in common (c) form a triangular prism (d) none of these

The equation of the plane through the line of intersection of the planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0 parallel to the line y=0 and z=0 is

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0\ a n d\ x-y+z+3=0 and passing through the origin.

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

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

The distance of the point (x,y,z) from xy-plne is (A) x (B) |y| (C) z (D) |z|

What is the locus of a point for which y=0,z =0? a. x-axis b. y-axis c. z-axis d. yz-plane