ASSIGNMENT#1

Fall 2022


     Total marks: 15

Due Date:29thNovember, 2022

 

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Question 1:                Marks = 05

Find a parametric equation of the line through and , where




Question 2:                Marks = 10

Determine the value(s) of h and k such that the given system

has

1.      no solution,

2.      a unique solution,

3.      many solutions.








CASE 1: IF h=-8  and k is not equal -6  then R(A)  < R(C)  so system is not consistent and will have no

Solution.

 

CASE 2: IF h is not equal  to  -8  and k is not equal to -6 then R(A)=R(C)=3=no. of unknowns so system is consistent  and will have unique solution.

 

CASE 3: if h= -8  and k=-6  then  R(A)=R(C)=2< no. of unknowns so system is consistent  and  will  have

Many solutions. 




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