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STATEMENT-1: The lines a(1)x+b(1)y+c(1)=...

STATEMENT-1: The lines `a_(1)x+b_(1)y+c_(1)=0a_(2)x+b_(2)y+c_(2)=0,a_(3)x+b_(3)y+c_(2)=0` are concurrent if `|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0.`
STATEMENT-2: The area of the triangle formed by three concurrent lines is always zero.

A

more than two solutions

B

one trivial and one non-trivial solutions

C

no solution

D

only trivial solution `(0, 0,0)`

Text Solution

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The correct Answer is:
A
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