The equation of any plane parallel to x-axis (A) `ay+cz+b=0, a^2+b^2+c^2=0` (B) `x=a` (C) `ay+cz-bx=0, a^2+c!=0` (D) none of these

Find the equation of the line parallel to x - axis passing through the intersection of the lines 3ax+2by+7b=0 and 3bx-2ay-7a=0 , where (a, b) ne (0,0) .

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

Name the surface represented by the equation ax+by+cz+d=0, where a^2+b^2+c^2=0 .

Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R . Then (a) a+c^2 2b (c) a-3b+c^2 < 0 (d) none of these

Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R . Then (a) a+c^2 2b (c) a-3b+c^2 < 0 (d) none of these

Show that the equation by by+cz+d=0 represents a plane parallel to the x-axis. Find the equation of a plane which is parallel to the x-axis and passes through the points A(2,3,1) and B(4,-5,3).

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