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Question

For what value of m, the system of equations mx+3y=m3,12x+my=m will have no solution.


A

-4

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B

4

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C

-6

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D

6

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Solution

The correct option is C

-6


Condition for any equations to have no solutions is,

a1a2 = b1b2c1c2

m12= 3m

m2=36m=6,6

3mm3m

3mm23m

6mm2m6

m=6


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