1.

For what value of p will the following pair of linear equation have infinitely many solutions (p-3)x+3y=p;px+py=12

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Answer:

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Infinitely many SOLUTIONS have coincident lines, a1/a3=b1/b2=c1/c2..

(P-3)/p= 3/p = p/12

(1) (2) (3)

By taking (2)and (3)...

3/p = p/12 (Cross multiplication)

= 36

P = 36

P=6²

:. P = 6.

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