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For two linear equations a(1)x + b(1)y +...

For two linear equations `a_(1)x + b_(1)y + c_(1)= 0 and a_(2) x+ b_(2)y+ c_(2)= 0`, then condition `(a_(1))/(a_(2)) = (b_(1))/(b_(2))= (c_(1))/(c_(2))` is for

A

Unique solution

B

Infinite solutions

C

No solution

D

Data insufficient

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Assertion (A) :Pair of linear equations 9x+3y+12=0 and 18x+6y+24=0 have infinitely many solutions Reason (R ) : Pair of linear equations a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 have infinitely many solutions if (a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))

Assertion (A) : The lines 2x-5y=7 and 6x-15y=8 are parallel lines. Reason (R ) : Pair of linear equations a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 have infinitely many solutions if (a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))

If the system of equations a_(1)x+b_(1)y+c_(1),a_(2)x+b_(2)y+c_(2)=0 is inconsistent,(a_(1))/(a_(2))=(b_(1))/(b_(2))!=(c_(1))/(c_(2))

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