> ax + by + cz = 0here, n1. n2 = 0

The distance between the parallel planes: ax + by + cz + d = 0 and ax + by+ cz + d' =0 is :

If pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

The two planes ax+by+cz+d=0 and ax+by+cz+d=0 where d ne d_1 , have

If the equation of the plane pasing through the points (1,2,3). (-1,2,0) and perpendicular to the ZX - plane is ax + by + cz + d=0 (a gt0) then

If m and n are the roots of the equation ax ^(2) + bx + c = 0, then the equation whose roots are ( m ^(2) + 1 ) // m and ( n ^(2)+1) //n is

If a, b and c are three different numbers and ax : by : cz = 1 : 2 : -3, then ax + by +cz =

The two planes ax+by+cz+d=0 and ax+by+cz+d_1=0 where dned_1 have

Add: 6ax - 2by + 3cz, 6by - 11ax - cz and 1- cz - 2ax - 3by

Show that the plane ax + by + cz + d = 0 divides, the line segment joining the points (x_1, y_1, z_1) and (x_2, y_2, z_2) in the- ratio -(ax_1+by_1+cz_1+d)/(ax_2+by_2+cz_2+d) .

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