Match the possible scenarios for system of linear equations in 3 variables.
$\begin{matrix} C o l u m n I & C o l u m n I I a . U n d e r d e t e r m i n e d s y s t e m & i . N o s o l u t i o n b . O v e r d e t e r m i n e d s y s t e m & i i . S i n g l e s o l u t i o n c . E x a c t l y d e t e r m i n e d s y s t e m & i i i . I n f i n i t e s o l u t i o n \end{matrix}$

a – i,ii; b-i,ii; c-ii, iii

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a – i,ii; b-i,ii; c-ii, iii

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a – i,iii; b-i,ii, iii; c-i, ii, iii

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a – iii, b-i, ii; c-i, ii, iii

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Solution

The correct option is C
a – i,iii; b-i,ii, iii; c-i, ii, iii

An Underdetermined system in 3 variable can’t have a single solution. It can either have no solution or infinite solution.

An overdetermined system can have no solution, single solution or infinite solution.

An exactly determined system can have no solution, exactly one solution or infinite solutions possible.

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Match the possible scenarios for system of linear equations in 3 variables.

\begin{matrix} C o l u m n I & C o l u m n I I a . U n d e r d e t e r m i n e d s y s t e m & i . N o s o l u t i o n b . O v e r d e t e r m i n e d s y s t e m & i i . S i n g l e s o l u t i o n c . E x a c t l y d e t e r m i n e d s y s t e m & i i i . I n f i n i t e s o l u t i o n \end{matrix}

Match the possible scenarios for system of linear equations in 3 variables.

c. Exactly determined system iii) Infinite solution

a – i,ii; b-i,ii; c-ii, iii
a – i,ii; b-i,ii; c-ii, iii
a – i,iii; b-i,ii, iii; c-i, ii, iii
a – iii, b-i, ii; c-i, ii, iii

Match column I with column II:

Column I			Column II
(a)	Eosinophils	(i)	Coagulation
(b)	RBC	(ii)	Universal Recipient
(c)	AB Group	(iii)	Resist Infections
(d)	Platelets	(iv)	Contraction of Heart
(e)	Systole	(v)	Gas transport

Match the substances in Column I with those in Column II. [5 MARKS]

Match the columns I and II select the correct option.

$\begin{matrix} Column I & Column II 1. & Lycopodium & p. & Alga 2. & Sequoia & q. & Moss 3. & Polytrichum & r. & Pteriophyte 4. & Dictyota & s. & Gymnosperm \end{matrix}$

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Match the possible scenarios for system of linear equations in 3 variables. Column IColumn IIa. Underdetermined systemi. No solutionb. Over determined systemii. Single solutionc. Exactly determined systemiii. Infinite solution