Show that the equation of a circle passing through the origin and having intercepts `aa n db` on real and imaginary axes, respectively, on the argand plane is given by ` z bar z =a a(R e z)+b(I mz)dot`

The equation of a plane with intercepts 2,3,and 4 on the x,y and z axes respectively is

Equation of the passing through the origin and perpendicular to the planes x+2y+z=1 , 3x-4y+z=5 is

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

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

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 passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

The equation of the plane passing through the intersection of x + 2y + 3x + 4 = 0 and 4x + 3y + 2z+ 1 = 0 and the origin (0.0, 0) is

Find the equation of a plane which passes through the point (1,2,3) and which is equally inclined to the planes x-2y+2z-3=0a n d8x-4y+z-7=0.

Find the equation of the plane passing through the line of intersection of the planes vec(r)*(2hat(i)-7hat(j)+4hat(k))=3and3x-5y+4z+11=0," and the point "(-2,1,3).

Prove that the locus of midpoint of line segment intercepted between real and imaginary axes by the line bara z + a bar z+b=0,w h e r eb is a real parameterand a is a fixed complex number with nondzero real and imaginary parts, is a z+ bara barz =0.