Let S be the set of all real values of `lamda` such that a plane passing through the points `(-lamda^(2), 1,1), (1, -lamda ^(2),1) and (1, 1, - lamda^(2))` also passes through the point `(-1,-1,1).` Then, S is equal to:

If the line passes through the points P(6, - 1, 2), Q (8, -7, 2A) and R(5, 2, 4) then value of lamda is ..... .

A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1),(1, 1, -lamda^2) also passes through (-1,-1,1) then set consisting all the real value of lamda is (A) {-sqrt3,sqrt3} (B) {3,-3} (C) {-1,1} (D) {sqrt3, -sqrt3}

The equation of the plane passing through the points (3,2,-1) , (3,4,2) and (7,0,6) is 5x + 3y -2z=lamda, where lamda is :

The equation of the plane passing through the points (3,2,-1) , (3,4,2) and (7,0,6) is 5x + 3y -2z=lamda, where lamda is :

The equation of the plane passing through the points (3,2,-1) , (3,4,2) and (7,0,6) is 5x + 3y -2z=lamda, where lamda is :

The number of distinct real values of lamda for which the lines (x-1)/(1) = (y-2)/(2) = (z +3)/( lamda ^(2)) and (x-3)/(1) = (y-2)/(lamda ^(2)) = (z-1)/(2) are coplanar is