Write the equation of the plane `3x-4y+6z-12=0` in intercept from and hence obtain the co-ordinates of the point where it meets the co-ordinate axes.

Write the equation of the plane x+3y-7z+2=0 in the intercept from.

Write the equation of the plane 3x-4y+z+5=0 in normal form.

Write the equation of the plane with intercepts on axes 1, -1, 3. .

Write the distance of the plane 3x-4y + 12z = 3 from the origin.

Write the equation of the plane parallel to x-axis having intercepts 5 and 6 on y and z-axis respectively.

Find the equation of lines passing through origin and perpendicular to the lines 3x + 2y - 5 = 0 and 4x + 3y = 7. Obtain the co-ordinate of the points where these perpendiculars meet the given lines . Prove that the equation of line passing through these two points is 23x + 11y - 35 = 0.

Write the value of x-intercept of the plane x+y+2z=1 .