The point of intersection of the line joining the points ($$-$$3, 4, $$-$$8) and (5, $$-$$6, 4) with XY-plane is

If the angle between the lines whose direction ratios are (2, $$-$$1, 2) and is $${\pi \over 4}$$, then the smaller value of x is

A variable plane passes through a fixed point (a, b, c) and cuts the axes in A, B, and C respectively. The locus of the centre of the sphere OABC, O being the origin, is

The equation of the plane passing through the line of intersection of the planes x + y + z = 1, 2x + 3y + 4z = 7, and perpendicular to the plane x $$-$$ 5y + 3z = 5 is given by