Questions
For all real values of a and b and are concurrent, then m is equal to
a
-2
b
-3
c
-4
d
-5
detailed solution
Correct option is A
The given family of lines can be rewrite as a2x+y−3+bx+3y+1=0All these lines are passing through the point of intersection of 2x+y−3=0,x+3y+1=0Hence, the point of intersection of those two lines is 2,−1Since the line is mx+2y+6=0 concurrent with the given family of lines, the line mx+2y+6=0 passes through the fixed point 2,−1It implies that 2m−2+6=0⇒m=−2Talk to our academic expert!
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