JEE Advance - Mathematics (2004 - No. 1)
Find the equation of plane passing through $$(1, 1, 1)$$ & parallel to the lines $${L_1},{L_2}$$ having direction ratios $$(1,0,-1),(1,-1,0).$$ Find the volume of tetrahedron formed by origin and the points where these planes intersect the coordinate axes.
x + y + z = 3; 9/2 cubic units
x - y + z = 1; 3/2 cubic units
x + y - z = 1; 9/4 cubic units
x + y + z = 1; 9/2 cubic units
x - y - z = 3; 3/4 cubic units