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Find the product of Y-intercepts of lines L and line M?

1) Product of X-intercepts of lines L and line M is 0
2) Product of slopes of lines L and line M is negative

Source: https://www.GMATinsight.com

eqn of line ; y=mx+c
where x,y are coordinates of line and c is y intercept (viz. point where line passes y axis)

target find product of Y intercepts of lines L & M
#1Product of X-intercepts of lines L and line M is 0
which means that line L or M passes through x at 0 , therefore the Y intercept of the line is also 0 or say origin ( 0,0)
now if Y intercept of one of lines is 0 therefore the product of Y intercept of Line L & M has to be 0
sufficient
#2Product of slopes of lines L and line M is negative
which means that either both lines are perpendicular and m1*m2=-1
or else there product is -ve because one of the lines has a +ve slope and other has -ve slope
with this info we cannot determine the value of Y intercept of both lines
insufficient
option A is correct
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