Matrices and Determinants

Match the Statements / Expressions in Column I with the Statements / Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.

The number of distinct real values of $\lambda$, for which the vectors $-\lambda^2\hat i+\hat j+\hat k$, $\hat i-\lambda^2\hat j+\hat k$ and $\hat i+\hat j-\lambda^2\hat k$ are coplanar, is

Consider the following linear equations
$$ax+by+cz=0,\qquad bx+cy+az=0,\qquad cx+ay+bz=0.$$
Match the conditions/expressions in Column I with statements in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.