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Vector Test-1
Section C: Matrix match
Consider the following linear equation
ax + by + cz = 0
bx + cy + az = 0
cx + ay + bz = 0, Match the following
Column I |
P. a + b + c ≠ 0 and a^{2} + b^{2} + c^{2} = ab + bc + ca |
Q. a + b + c = 0 and a^{2} + b^{2} + c^{2}≠ ab + bc + ca |
R. a + b + c ≠ 0 and a^{2} + b^{2} + c^{2}≠ ab + bc + ca |
S. a + b + c= 0 and a^{2} + b^{2} + c^{2} = ab + bc + ca |
Column II | |
(A) | The equation represents planes meeting only at a single point |
(B) | The equation represents the line x = y = z |
(C) | The equation represents identical planes |
(D) | The equation represents the whole of the three dimensional |
Find the correct options from A to D for S.