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Ask iit jee aieee pet cbse icse state board experts Expert Question: solve the determinant
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deepcool890 (0)

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1  1+p   1+p+q
2  3+2p 1+3p+2q 
3  6+3p 1+6p+3q
    

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anpm_dev (111)

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in second row the last term is 1+3p+2p or 1+3p+2q check it

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ganesha1991 (1700)

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is the answer 1....................the above comment is right .........i hav answered it after correcting it
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deepcool890 (0)

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yes ur correct it is 2q
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anpm_dev (111)

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yes i 2 have got the answer 1

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anpm_dev (111)

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the sol goes as:

1 1+p 1+p+q
2 3+2p 1+3p+2q
3 6+3p 1+6p+3q
------------------------
1 1+p 1+p+q
1 2+p 2p+q
1 3+p 3p+q
------------------------
1 1+p 1+p+q
0 1 -1+p
0 1 p
------------------------
xpand usiing 1st row
(1*p)-(p-1)*1=p-p+1=1

plz... rate if find the answer correct

The deepest secret is that life is not a process of discovery, but a process of creation. You are not discovering yourself, but creating yourself anew. Seek therefore, not to find out who you are; seek to determine who you want to be."
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LAMPARD (1142)

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Im getting it as 1..
see,split it as  |   1    1+p      1+p   |        | 1   1+p      q  |
                      |  2     3+2p    1+3p |    +  | 2   3+2p    2q |
                      |  3     6+3p    1+6p |        | 3    6+3p   3q |
 and determinant is 0...
in 1st determinant,do R3=R3-R1-R2...and then R2=R2-2R1
and then expanding along C1,you get 1st determinant as 1
So,final answer 1..
        
                    
         

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