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 circle and its chord are respectively x^2 + y^2 = a^2 and x + y = a . The equation of circle with this chord as diameter is : (A) x^2 + y^2 + ax + ay + a^2 = 0 (B) x^2 + y^2 + 2ax + 2ay = 0 (C) x^2 + y^2 - ax - ay = 0 (D) ax^2 + ay^2 + x + y = 0

The planes x=0 and y=0 (A) are parallel (B) are perpendicular to each other (C) interesect in z-axis (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).

Equation of the circle through origin which cuts intercepts of length a and b on axes is a.x^(2)+y^(2)=ax+by=0 b.x^(2)+y^(2)-ax-by=0cx^(2)+y^(2)+bx+ay=0 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

If the system of linear equations x + 2ay + az = 0 x + 3by + bz = 0 x + 4cy + cz = 0 has a non-zero solution, then a, b, c

If the system of linear equation x + 4ay + ax = 0 , x + 3b + bz = 0 x + 2cy + cz = 0 have a non-trivial solution, then a, b, c are in