1.

Consider the following linear equationsax+by+cz = 0bx + cy+ az = 0cx+ ay+bz = 0Match the conditions / expressions in Column I with statements in Column II Column InColumn II

A. a + b + c ≠ 0 and a2 + b2 + c2 = ab + bc + ca (p) the equations represent planes meeting only at a single point.
B. a + b + c = 0 and a2 + b2 + c2 ≠ ab + bc + ca (q) the equations represent the line x = y = z.
C. a + b + c ≠ 0 and a2 + b2 + c2 ≠ ab + bc + ca (r) the equations represent identical planes.
D. a + b + c = 0 and a2 + b2 + c2 = ab + bc + ca (s) the equations represent the whole of the three dimensional space.
Answer» B. a + b + c = 0 and a2 + b2 + c2 ≠ ab + bc + ca (q) the equations represent the line x = y = z.


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