Consider the following system of equations:
x+2y−3z=a
2x+6y−11z=b
x−2y+7z=c
where a,b and c are real constants. Then the system of equations :
Held on 26 Feb 2021 · Verified 6 Jul 2026.
has a unique solution when 5a=2b+c
has no solution for all a,b and c
has infinite number of solutions when 5a=2b+c
has a unique solution for all a,b and c
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If the roots of x² - 5x + k = 0 are in the ratio 2:3, then k equals:
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